KILLED proof of input_b8s4CVSsgr.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (16) CpxRNTS (17) CompletionProof [UPPER BOUND(ID), 0 ms] (18) CpxTypedWeightedCompleteTrs (19) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (20) CpxRNTS (21) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (22) CdtProblem (23) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CdtProblem (25) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (26) CdtProblem (27) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CdtProblem (29) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CdtProblem (31) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 1 ms] (32) CdtProblem (33) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CdtProblem (35) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms] (42) CdtProblem (43) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CdtProblem (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms] (62) CdtProblem (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms] (78) CdtProblem (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 52 ms] (82) CdtProblem (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms] (86) CdtProblem (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (90) CdtProblem (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (94) CdtProblem (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 13 ms] (96) CdtProblem (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 48 ms] (98) CdtProblem (99) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (100) CdtProblem (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms] (104) CdtProblem (105) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 53 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms] (112) CdtProblem (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 70 ms] (116) CdtProblem (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1 ms] (128) CdtProblem (129) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 115 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 39 ms] (140) CdtProblem (141) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 109 ms] (144) CdtProblem (145) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 46 ms] (148) CdtProblem (149) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 21 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 50 ms] (152) CdtProblem (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 33 ms] (156) CdtProblem (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 96 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 95 ms] (164) CdtProblem (165) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (168) CdtProblem (169) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14 ms] (170) CdtProblem (171) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (172) CdtProblem (173) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 179 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 64 ms] (176) CdtProblem (177) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (178) CdtProblem (179) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5 ms] (180) CdtProblem ---------------------------------------- (0) Obligation: The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) a__after(0, XS) -> mark(XS) a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) mark(from(X)) -> a__from(mark(X)) mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(s(X)) -> s(mark(X)) mark(0) -> 0 a__from(X) -> from(X) a__after(X1, X2) -> after(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__from(X) -> cons(mark(X), from(s(X))) a__after(0', XS) -> mark(XS) a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) mark(from(X)) -> a__from(mark(X)) mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(s(X)) -> s(mark(X)) mark(0') -> 0' a__from(X) -> from(X) a__after(X1, X2) -> after(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__from(X) -> cons(mark(X), from(s(X))) a__after(0, XS) -> mark(XS) a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) mark(from(X)) -> a__from(mark(X)) mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(s(X)) -> s(mark(X)) mark(0) -> 0 a__from(X) -> from(X) a__after(X1, X2) -> after(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__from(X) -> cons(mark(X), from(s(X))) [1] a__after(0, XS) -> mark(XS) [1] a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__from(X) -> from(X) [1] a__after(X1, X2) -> after(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__from(X) -> cons(mark(X), from(s(X))) [1] a__after(0, XS) -> mark(XS) [1] a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__from(X) -> from(X) [1] a__after(X1, X2) -> after(X1, X2) [1] The TRS has the following type information: a__from :: s:from:cons:0:after -> s:from:cons:0:after cons :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after mark :: s:from:cons:0:after -> s:from:cons:0:after from :: s:from:cons:0:after -> s:from:cons:0:after s :: s:from:cons:0:after -> s:from:cons:0:after a__after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after 0 :: s:from:cons:0:after after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after Rewrite Strategy: INNERMOST ---------------------------------------- (9) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: mark_1 a__after_2 a__from_1 Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (10) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__after(0, XS) -> mark(XS) [1] a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__from(X) -> from(X) [1] a__after(X1, X2) -> after(X1, X2) [1] The TRS has the following type information: a__from :: s:from:cons:0:after -> s:from:cons:0:after cons :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after mark :: s:from:cons:0:after -> s:from:cons:0:after from :: s:from:cons:0:after -> s:from:cons:0:after s :: s:from:cons:0:after -> s:from:cons:0:after a__after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after 0 :: s:from:cons:0:after after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after Rewrite Strategy: INNERMOST ---------------------------------------- (11) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (12) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__after(0, XS) -> mark(XS) [1] a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) [1] mark(from(from(X30))) -> a__from(a__from(mark(X30))) [2] mark(from(after(X112, X211))) -> a__from(a__after(mark(X112), mark(X211))) [2] mark(from(cons(X113, X212))) -> a__from(cons(mark(X113), X212)) [2] mark(from(s(X31))) -> a__from(s(mark(X31))) [2] mark(from(0)) -> a__from(0) [2] mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__from(X) -> from(X) [1] a__after(X1, X2) -> after(X1, X2) [1] The TRS has the following type information: a__from :: s:from:cons:0:after -> s:from:cons:0:after cons :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after mark :: s:from:cons:0:after -> s:from:cons:0:after from :: s:from:cons:0:after -> s:from:cons:0:after s :: s:from:cons:0:after -> s:from:cons:0:after a__after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after 0 :: s:from:cons:0:after after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after Rewrite Strategy: INNERMOST ---------------------------------------- (13) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 ---------------------------------------- (14) Obligation: Complexity RNTS consisting of the following rules: a__after(z, z') -{ 1 }-> mark(XS) :|: z' = XS, z = 0, XS >= 0 a__after(z, z') -{ 1 }-> a__after(mark(N), mark(XS)) :|: z = 1 + N, z' = 1 + X + XS, X >= 0, XS >= 0, N >= 0 a__after(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X mark(z) -{ 2 }-> a__from(a__from(mark(X30))) :|: z = 1 + (1 + X30), X30 >= 0 mark(z) -{ 2 }-> a__from(a__after(mark(X112), mark(X211))) :|: z = 1 + (1 + X112 + X211), X112 >= 0, X211 >= 0 mark(z) -{ 2 }-> a__from(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__from(1 + mark(X31)) :|: X31 >= 0, z = 1 + (1 + X31) mark(z) -{ 2 }-> a__from(1 + mark(X113) + X212) :|: X113 >= 0, X212 >= 0, z = 1 + (1 + X113 + X212) mark(z) -{ 1 }-> a__after(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (15) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (16) Obligation: Complexity RNTS consisting of the following rules: a__after(z, z') -{ 1 }-> mark(z') :|: z = 0, z' >= 0 a__after(z, z') -{ 1 }-> a__after(mark(z - 1), mark(XS)) :|: z' = 1 + X + XS, X >= 0, XS >= 0, z - 1 >= 0 a__after(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__from(z) -{ 1 }-> 1 + z :|: z >= 0 a__from(z) -{ 1 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0 mark(z) -{ 2 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(a__after(mark(X112), mark(X211))) :|: z = 1 + (1 + X112 + X211), X112 >= 0, X211 >= 0 mark(z) -{ 2 }-> a__from(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__from(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__from(1 + mark(X113) + X212) :|: X113 >= 0, X212 >= 0, z = 1 + (1 + X113 + X212) mark(z) -{ 1 }-> a__after(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(z - 1) :|: z - 1 >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 ---------------------------------------- (17) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: none And the following fresh constants: none ---------------------------------------- (18) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__from(X) -> cons(mark(X), from(s(X))) [1] a__after(0, XS) -> mark(XS) [1] a__after(s(N), cons(X, XS)) -> a__after(mark(N), mark(XS)) [1] mark(from(X)) -> a__from(mark(X)) [1] mark(after(X1, X2)) -> a__after(mark(X1), mark(X2)) [1] mark(cons(X1, X2)) -> cons(mark(X1), X2) [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__from(X) -> from(X) [1] a__after(X1, X2) -> after(X1, X2) [1] The TRS has the following type information: a__from :: s:from:cons:0:after -> s:from:cons:0:after cons :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after mark :: s:from:cons:0:after -> s:from:cons:0:after from :: s:from:cons:0:after -> s:from:cons:0:after s :: s:from:cons:0:after -> s:from:cons:0:after a__after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after 0 :: s:from:cons:0:after after :: s:from:cons:0:after -> s:from:cons:0:after -> s:from:cons:0:after Rewrite Strategy: INNERMOST ---------------------------------------- (19) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 ---------------------------------------- (20) Obligation: Complexity RNTS consisting of the following rules: a__after(z, z') -{ 1 }-> mark(XS) :|: z' = XS, z = 0, XS >= 0 a__after(z, z') -{ 1 }-> a__after(mark(N), mark(XS)) :|: z = 1 + N, z' = 1 + X + XS, X >= 0, XS >= 0, N >= 0 a__after(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + mark(X) + (1 + (1 + X)) :|: X >= 0, z = X mark(z) -{ 1 }-> a__from(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__after(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + mark(X1) + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (21) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (22) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) A__AFTER(z0, z1) -> c5 MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) MARK(0) -> c11 S tuples: A__FROM(z0) -> c(MARK(z0)) A__FROM(z0) -> c1 A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) A__AFTER(z0, z1) -> c5 MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) MARK(0) -> c11 K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c1, c2_1, c3_2, c4_2, c5, c6_2, c7_2, c8_2, c9_1, c10_1, c11 ---------------------------------------- (23) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__FROM(z0) -> c1 MARK(0) -> c11 A__AFTER(z0, z1) -> c5 ---------------------------------------- (24) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c3_2, c4_2, c6_2, c7_2, c8_2, c9_1, c10_1 ---------------------------------------- (25) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) by A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(cons(mark(z0), z1), mark(x2)), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2)), MARK(0)) ---------------------------------------- (26) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(cons(mark(z0), z1), mark(x2)), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2)), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(cons(mark(z0), z1), mark(x2)), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2)), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c4_2, c6_2, c7_2, c8_2, c9_1, c10_1, c3_2 ---------------------------------------- (27) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (28) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c4_2, c6_2, c7_2, c8_2, c9_1, c10_1, c3_2, c3_1 ---------------------------------------- (29) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) by A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0), MARK(0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(cons(mark(z0), z1), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) ---------------------------------------- (30) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0), MARK(0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(cons(mark(z0), z1), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0), MARK(0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(cons(mark(z0), z1), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c7_2, c8_2, c9_1, c10_1, c3_2, c3_1, c4_2 ---------------------------------------- (31) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (32) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c7_2, c8_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1 ---------------------------------------- (33) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) by MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(cons(z0, z1), x1)) -> c7(A__AFTER(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1)), MARK(0)) ---------------------------------------- (34) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(cons(z0, z1), x1)) -> c7(A__AFTER(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1)), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(cons(z0, z1), x1)) -> c7(A__AFTER(cons(mark(z0), z1), mark(x1)), MARK(cons(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1)), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c8_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2 ---------------------------------------- (35) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c8_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1 ---------------------------------------- (37) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) by MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0), MARK(0)) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(A__AFTER(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0), MARK(0)) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(A__AFTER(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0), MARK(0)) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(A__AFTER(cons(mark(z0), z1), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2 ---------------------------------------- (39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (41) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, from(z0))) -> c3(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) by A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(cons(mark(z0), z1), a__from(mark(x2))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2))), MARK(0)) ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(cons(mark(z0), z1), a__from(mark(x2))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2))), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(cons(mark(z0), z1), a__from(mark(x2))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2))), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (43) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (45) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c3(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) by A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(cons(mark(z0), z1), a__after(mark(x2), mark(x3))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(0)) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(cons(mark(z0), z1), a__after(mark(x2), mark(x3))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(cons(mark(z0), z1), a__after(mark(x2), mark(x3))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (47) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (49) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c3(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) by A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(cons(mark(z0), z1), cons(mark(x2), x3)), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3)), MARK(0)) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(cons(mark(z0), z1), cons(mark(x2), x3)), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3)), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(cons(mark(z0), z1), cons(mark(x2), x3)), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3)), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (51) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (53) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, s(z0))) -> c3(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) by A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(cons(mark(z0), z1), s(mark(x2))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(A__AFTER(s(mark(z0)), s(mark(x2))), MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2))), MARK(0)) ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(cons(mark(z0), z1), s(mark(x2))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(A__AFTER(s(mark(z0)), s(mark(x2))), MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2))), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(cons(mark(z0), z1), s(mark(x2))), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(A__AFTER(s(mark(z0)), s(mark(x2))), MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2))), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (55) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (57) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, 0)) -> c3(A__AFTER(mark(x0), 0), MARK(x0)) by A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(A__AFTER(s(mark(z0)), 0), MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0), MARK(0)) ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(A__AFTER(s(mark(z0)), 0), MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(A__AFTER(s(mark(z0)), 0), MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (61) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(from(z0)), cons(x1, x2)) -> c3(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(from(z0))) by A__AFTER(s(from(x0)), cons(x1, from(z0))) -> c3(A__AFTER(a__from(mark(x0)), a__from(mark(z0))), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, after(z0, z1))) -> c3(A__AFTER(a__from(mark(x0)), a__after(mark(z0), mark(z1))), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, cons(z0, z1))) -> c3(A__AFTER(a__from(mark(x0)), cons(mark(z0), z1)), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, s(z0))) -> c3(A__AFTER(a__from(mark(x0)), s(mark(z0))), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(x0)), 0), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x2)), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(A__AFTER(from(mark(x0)), mark(x2)), MARK(from(x0))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x2)), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(A__AFTER(from(mark(x0)), mark(x2)), MARK(from(x0))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x2)), MARK(from(x0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(A__AFTER(from(mark(x0)), mark(x2)), MARK(from(x0))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (65) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(after(z0, z1))) by A__AFTER(s(after(x0, x1)), cons(x2, from(z0))) -> c3(A__AFTER(a__after(mark(x0), mark(x1)), a__from(mark(z0))), MARK(after(x0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, after(z0, z1))) -> c3(A__AFTER(a__after(mark(x0), mark(x1)), a__after(mark(z0), mark(z1))), MARK(after(x0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, cons(z0, z1))) -> c3(A__AFTER(a__after(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(after(x0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, s(z0))) -> c3(A__AFTER(a__after(mark(x0), mark(x1)), s(mark(z0))), MARK(after(x0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c3(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(after(x0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(A__AFTER(after(mark(x0), mark(x1)), mark(x3)), MARK(after(x0, x1))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(A__AFTER(after(mark(x0), mark(x1)), mark(x3)), MARK(after(x0, x1))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(A__AFTER(after(mark(x0), mark(x1)), mark(x3)), MARK(after(x0, x1))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (67) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_2, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (69) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(s(z0)), cons(x1, x2)) -> c3(A__AFTER(s(mark(z0)), mark(x2)), MARK(s(z0))) by A__AFTER(s(s(x0)), cons(x1, from(z0))) -> c3(A__AFTER(s(mark(x0)), a__from(mark(z0))), MARK(s(x0))) A__AFTER(s(s(x0)), cons(x1, after(z0, z1))) -> c3(A__AFTER(s(mark(x0)), a__after(mark(z0), mark(z1))), MARK(s(x0))) A__AFTER(s(s(x0)), cons(x1, cons(z0, z1))) -> c3(A__AFTER(s(mark(x0)), cons(mark(z0), z1)), MARK(s(x0))) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c3(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(x0))) A__AFTER(s(s(x0)), cons(x1, 0)) -> c3(A__AFTER(s(mark(x0)), 0), MARK(s(x0))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c3(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(x0))) A__AFTER(s(s(x0)), cons(x1, 0)) -> c3(A__AFTER(s(mark(x0)), 0), MARK(s(x0))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c3(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(x0))) A__AFTER(s(s(x0)), cons(x1, 0)) -> c3(A__AFTER(s(mark(x0)), 0), MARK(s(x0))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (71) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (73) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, from(z0))) -> c4(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) by A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(cons(mark(z0), z1), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(cons(mark(z0), z1), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(cons(mark(z0), z1), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (77) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, after(z0, z1))) -> c4(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) by A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(cons(mark(z0), z1), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(cons(mark(z0), z1), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(cons(mark(z0), z1), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (79) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (81) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, cons(z0, z1))) -> c4(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) by A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(cons(mark(z0), z1), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(cons(mark(z0), z1), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(cons(mark(z0), z1), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (83) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (85) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, s(z0))) -> c4(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) by A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(cons(mark(z0), z1), s(mark(x2))), MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(A__AFTER(s(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(cons(mark(z0), z1), s(mark(x2))), MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(A__AFTER(s(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(cons(mark(z0), z1), s(mark(x2))), MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(A__AFTER(s(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (89) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(from(z0)), cons(x1, x2)) -> c4(A__AFTER(a__from(mark(z0)), mark(x2)), MARK(x2)) by A__AFTER(s(from(x0)), cons(x1, from(z0))) -> c4(A__AFTER(a__from(mark(x0)), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(from(x0)), cons(x1, after(z0, z1))) -> c4(A__AFTER(a__from(mark(x0)), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(from(x0)), cons(x1, cons(z0, z1))) -> c4(A__AFTER(a__from(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(from(x0)), cons(x1, s(z0))) -> c4(A__AFTER(a__from(mark(x0)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0), MARK(0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(A__AFTER(from(mark(x0)), mark(x2)), MARK(x2)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0), MARK(0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(A__AFTER(from(mark(x0)), mark(x2)), MARK(x2)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0), MARK(0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(A__AFTER(from(mark(x0)), mark(x2)), MARK(x2)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (91) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (93) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(after(z0, z1)), cons(x1, x2)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), mark(x2)), MARK(x2)) by A__AFTER(s(after(x0, x1)), cons(x2, from(z0))) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(after(x0, x1)), cons(x2, after(z0, z1))) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(after(x0, x1)), cons(x2, cons(z0, z1))) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(after(x0, x1)), cons(x2, s(z0))) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(A__AFTER(after(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(A__AFTER(after(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(A__AFTER(after(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (97) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(s(z0)), cons(x1, x2)) -> c4(A__AFTER(s(mark(z0)), mark(x2)), MARK(x2)) by A__AFTER(s(s(x0)), cons(x1, from(z0))) -> c4(A__AFTER(s(mark(x0)), a__from(mark(z0))), MARK(from(z0))) A__AFTER(s(s(x0)), cons(x1, after(z0, z1))) -> c4(A__AFTER(s(mark(x0)), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) A__AFTER(s(s(x0)), cons(x1, cons(z0, z1))) -> c4(A__AFTER(s(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1))) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c4(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(s(x0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(x0)), 0), MARK(0)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c4(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(s(x0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(x0)), 0), MARK(0)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c4(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(s(x0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(x0)), 0), MARK(0)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (99) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__AFTER(s(s(x0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(x0)), 0), MARK(0)) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c4(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(x0)), cons(x1, s(z0))) -> c4(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (103) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__AFTER(s(x0), cons(x1, 0)) -> c4(A__AFTER(mark(x0), 0)) by A__AFTER(s(from(z0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(z0)), 0)) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c4(A__AFTER(cons(mark(z0), z1), 0)) A__AFTER(s(s(z0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(z0)), 0)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c4(A__AFTER(cons(mark(z0), z1), 0)) A__AFTER(s(s(z0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(z0)), 0)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c4(A__AFTER(cons(mark(z0), z1), 0)) A__AFTER(s(s(z0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(z0)), 0)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (105) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__AFTER(s(s(z0)), cons(x1, 0)) -> c4(A__AFTER(s(mark(z0)), 0)) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c4(A__AFTER(cons(mark(z0), z1), 0)) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, from(z0))) -> c7(A__AFTER(mark(x0), a__from(mark(z0))), MARK(x0)) by MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), from(x1))) -> c7(A__AFTER(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1))), MARK(0)) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), from(x1))) -> c7(A__AFTER(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1))), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), from(x1))) -> c7(A__AFTER(cons(mark(z0), z1), a__from(mark(x1))), MARK(cons(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1))), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, after(z0, z1))) -> c7(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(x0)) by MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(A__AFTER(cons(mark(z0), z1), a__after(mark(x1), mark(x2))), MARK(cons(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(0)) ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(A__AFTER(cons(mark(z0), z1), a__after(mark(x1), mark(x2))), MARK(cons(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(A__AFTER(cons(mark(z0), z1), a__after(mark(x1), mark(x2))), MARK(cons(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, cons(z0, z1))) -> c7(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(x0)) by MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(A__AFTER(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2)), MARK(0)) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(A__AFTER(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2)), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(A__AFTER(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2)), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (117) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, s(z0))) -> c7(A__AFTER(mark(x0), s(mark(z0))), MARK(x0)) by MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(A__AFTER(cons(mark(z0), z1), s(mark(x1))), MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(A__AFTER(s(mark(z0)), s(mark(x1))), MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1))), MARK(0)) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(A__AFTER(cons(mark(z0), z1), s(mark(x1))), MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(A__AFTER(s(mark(z0)), s(mark(x1))), MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1))), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(A__AFTER(cons(mark(z0), z1), s(mark(x1))), MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(A__AFTER(s(mark(z0)), s(mark(x1))), MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1))), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, 0)) -> c7(A__AFTER(mark(x0), 0), MARK(x0)) by MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(A__AFTER(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(A__AFTER(s(mark(z0)), 0), MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0), MARK(0)) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(A__AFTER(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(A__AFTER(s(mark(z0)), 0), MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0), MARK(0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(A__AFTER(cons(mark(z0), z1), 0), MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(A__AFTER(s(mark(z0)), 0), MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (125) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (127) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(from(z0), x1)) -> c7(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(from(z0))) by MARK(after(from(x0), from(z0))) -> c7(A__AFTER(a__from(mark(x0)), a__from(mark(z0))), MARK(from(x0))) MARK(after(from(x0), after(z0, z1))) -> c7(A__AFTER(a__from(mark(x0)), a__after(mark(z0), mark(z1))), MARK(from(x0))) MARK(after(from(x0), cons(z0, z1))) -> c7(A__AFTER(a__from(mark(x0)), cons(mark(z0), z1)), MARK(from(x0))) MARK(after(from(x0), s(z0))) -> c7(A__AFTER(a__from(mark(x0)), s(mark(z0))), MARK(from(x0))) MARK(after(from(x0), 0)) -> c7(A__AFTER(a__from(mark(x0)), 0), MARK(from(x0))) MARK(after(from(x0), x1)) -> c7(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(from(x0))) MARK(after(from(x0), x1)) -> c7(A__AFTER(from(mark(x0)), mark(x1)), MARK(from(x0))) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(x0), x1)) -> c7(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(from(x0))) MARK(after(from(x0), x1)) -> c7(A__AFTER(from(mark(x0)), mark(x1)), MARK(from(x0))) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(x0), x1)) -> c7(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(from(x0))) MARK(after(from(x0), x1)) -> c7(A__AFTER(from(mark(x0)), mark(x1)), MARK(from(x0))) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (129) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (131) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(after(z0, z1), x1)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(after(z0, z1))) by MARK(after(after(x0, x1), from(z0))) -> c7(A__AFTER(a__after(mark(x0), mark(x1)), a__from(mark(z0))), MARK(after(x0, x1))) MARK(after(after(x0, x1), after(z0, z1))) -> c7(A__AFTER(a__after(mark(x0), mark(x1)), a__after(mark(z0), mark(z1))), MARK(after(x0, x1))) MARK(after(after(x0, x1), cons(z0, z1))) -> c7(A__AFTER(a__after(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(after(x0, x1))) MARK(after(after(x0, x1), s(z0))) -> c7(A__AFTER(a__after(mark(x0), mark(x1)), s(mark(z0))), MARK(after(x0, x1))) MARK(after(after(x0, x1), 0)) -> c7(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(after(x0, x1))) MARK(after(after(x0, x1), x2)) -> c7(A__AFTER(after(mark(x0), mark(x1)), mark(x2)), MARK(after(x0, x1))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, x1), x2)) -> c7(A__AFTER(after(mark(x0), mark(x1)), mark(x2)), MARK(after(x0, x1))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, x1), x2)) -> c7(A__AFTER(after(mark(x0), mark(x1)), mark(x2)), MARK(after(x0, x1))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_2, c7_1, c8_2, c8_1, c3_2 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(s(z0), x1)) -> c7(A__AFTER(s(mark(z0)), mark(x1)), MARK(s(z0))) by MARK(after(s(x0), from(z0))) -> c7(A__AFTER(s(mark(x0)), a__from(mark(z0))), MARK(s(x0))) MARK(after(s(x0), after(z0, z1))) -> c7(A__AFTER(s(mark(x0)), a__after(mark(z0), mark(z1))), MARK(s(x0))) MARK(after(s(x0), cons(z0, z1))) -> c7(A__AFTER(s(mark(x0)), cons(mark(z0), z1)), MARK(s(x0))) MARK(after(s(x0), s(z0))) -> c7(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(x0))) MARK(after(s(x0), 0)) -> c7(A__AFTER(s(mark(x0)), 0), MARK(s(x0))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(x0), s(z0))) -> c7(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(x0))) MARK(after(s(x0), 0)) -> c7(A__AFTER(s(mark(x0)), 0), MARK(s(x0))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(x0), s(z0))) -> c7(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(x0))) MARK(after(s(x0), 0)) -> c7(A__AFTER(s(mark(x0)), 0), MARK(s(x0))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, from(z0))) -> c8(A__AFTER(mark(x0), a__from(mark(z0))), MARK(from(z0))) by MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(A__AFTER(cons(mark(z0), z1), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(A__AFTER(cons(mark(z0), z1), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(A__AFTER(cons(mark(z0), z1), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (141) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, after(z0, z1))) -> c8(A__AFTER(mark(x0), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) by MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(A__AFTER(cons(mark(z0), z1), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(A__AFTER(cons(mark(z0), z1), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(A__AFTER(cons(mark(z0), z1), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (145) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, cons(z0, z1))) -> c8(A__AFTER(mark(x0), cons(mark(z0), z1)), MARK(cons(z0, z1))) by MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(A__AFTER(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(A__AFTER(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(A__AFTER(cons(mark(z0), z1), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (149) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (151) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, s(z0))) -> c8(A__AFTER(mark(x0), s(mark(z0))), MARK(s(z0))) by MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(A__AFTER(cons(mark(z0), z1), s(mark(x1))), MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(A__AFTER(s(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 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MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(A__AFTER(cons(mark(z0), z1), s(mark(x1))), MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(A__AFTER(s(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(A__AFTER(cons(mark(z0), z1), s(mark(x1))), MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(A__AFTER(s(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(from(z0), x1)) -> c8(A__AFTER(a__from(mark(z0)), mark(x1)), MARK(x1)) by MARK(after(from(x0), from(z0))) -> c8(A__AFTER(a__from(mark(x0)), a__from(mark(z0))), MARK(from(z0))) MARK(after(from(x0), after(z0, z1))) -> c8(A__AFTER(a__from(mark(x0)), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(from(x0), cons(z0, z1))) -> c8(A__AFTER(a__from(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(from(x0), s(z0))) -> c8(A__AFTER(a__from(mark(x0)), s(mark(z0))), MARK(s(z0))) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0), MARK(0)) MARK(after(from(x0), x1)) -> c8(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1)) MARK(after(from(x0), x1)) -> c8(A__AFTER(from(mark(x0)), mark(x1)), MARK(x1)) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) 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from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0), MARK(0)) MARK(after(from(x0), x1)) -> c8(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1)) MARK(after(from(x0), x1)) -> c8(A__AFTER(from(mark(x0)), mark(x1)), MARK(x1)) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> 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MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0), MARK(0)) MARK(after(from(x0), x1)) -> c8(A__AFTER(cons(mark(mark(x0)), from(s(mark(x0)))), mark(x1)), MARK(x1)) MARK(after(from(x0), x1)) -> c8(A__AFTER(from(mark(x0)), mark(x1)), MARK(x1)) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) 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MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (159) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(after(z0, z1), x1)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), mark(x1)), MARK(x1)) by MARK(after(after(x0, x1), from(z0))) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), a__from(mark(z0))), MARK(from(z0))) MARK(after(after(x0, x1), after(z0, z1))) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(after(x0, x1), cons(z0, z1))) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(after(x0, x1), s(z0))) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), s(mark(z0))), MARK(s(z0))) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(0)) MARK(after(after(x0, x1), x2)) -> c8(A__AFTER(after(mark(x0), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), 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c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(0)) MARK(after(after(x0, x1), x2)) -> c8(A__AFTER(after(mark(x0), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0), MARK(0)) MARK(after(after(x0, x1), x2)) -> c8(A__AFTER(after(mark(x0), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), 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from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (163) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(s(z0), x1)) -> c8(A__AFTER(s(mark(z0)), mark(x1)), MARK(x1)) by MARK(after(s(x0), from(z0))) -> c8(A__AFTER(s(mark(x0)), a__from(mark(z0))), MARK(from(z0))) MARK(after(s(x0), after(z0, z1))) -> c8(A__AFTER(s(mark(x0)), a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(after(s(x0), cons(z0, z1))) -> c8(A__AFTER(s(mark(x0)), cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(after(s(x0), s(z0))) -> c8(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) MARK(after(s(x0), 0)) -> c8(A__AFTER(s(mark(x0)), 0), MARK(0)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) 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c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(x0), s(z0))) -> c8(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) MARK(after(s(x0), 0)) -> c8(A__AFTER(s(mark(x0)), 0), MARK(0)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, 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MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(x0), s(z0))) -> c8(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) MARK(after(s(x0), 0)) -> c8(A__AFTER(s(mark(x0)), 0), MARK(0)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (165) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(after(s(x0), 0)) -> c8(A__AFTER(s(mark(x0)), 0), MARK(0)) ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) 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MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(x0), s(z0))) -> c8(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(x0), s(z0))) -> c8(A__AFTER(s(mark(x0)), s(mark(z0))), MARK(s(z0))) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (167) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> 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MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (169) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(after(x0, 0)) -> c8(A__AFTER(mark(x0), 0)) by MARK(after(from(z0), 0)) -> c8(A__AFTER(a__from(mark(z0)), 0)) MARK(after(after(z0, z1), 0)) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), 0)) MARK(after(cons(z0, z1), 0)) -> c8(A__AFTER(cons(mark(z0), z1), 0)) MARK(after(s(z0), 0)) -> c8(A__AFTER(s(mark(z0)), 0)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, 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MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), 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c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), 0)) -> c8(A__AFTER(cons(mark(z0), z1), 0)) MARK(after(s(z0), 0)) -> c8(A__AFTER(s(mark(z0)), 0)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), 0)) -> c8(A__AFTER(cons(mark(z0), z1), 0)) MARK(after(s(z0), 0)) -> c8(A__AFTER(s(mark(z0)), 0)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (171) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(after(cons(z0, z1), 0)) -> c8(A__AFTER(cons(mark(z0), z1), 0)) MARK(after(s(z0), 0)) -> c8(A__AFTER(s(mark(z0)), 0)) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) S tuples: A__FROM(z0) -> c(MARK(z0)) A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, s(after(z0, z1)))) -> c7(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, s(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, s(s(z0)))) -> c7(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) MARK(after(x0, s(0))) -> c7(A__AFTER(mark(x0), s(0)), MARK(x0)) MARK(after(from(z0), s(x1))) -> c7(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), s(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(after(z0, z1))) MARK(after(cons(z0, z1), s(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), s(x1))) -> c7(MARK(s(z0))) MARK(after(0, s(x1))) -> c7(A__AFTER(0, s(mark(x1)))) MARK(after(from(z0), 0)) -> c7(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) MARK(after(after(z0, z1), 0)) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) MARK(after(cons(z0, z1), 0)) -> c7(MARK(cons(z0, z1))) MARK(after(s(z0), 0)) -> c7(MARK(s(z0))) MARK(after(0, 0)) -> c7(A__AFTER(0, 0)) MARK(after(from(from(z0)), x1)) -> c7(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(from(from(z0)))) MARK(after(from(after(z0, z1)), x1)) -> c7(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(from(after(z0, z1)))) MARK(after(from(cons(z0, z1)), x1)) -> c7(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(from(cons(z0, z1)))) MARK(after(from(s(z0)), x1)) -> c7(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(from(s(z0)))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1)), MARK(from(0))) MARK(after(from(x0), x1)) -> c7(MARK(from(x0))) MARK(after(after(x0, from(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(after(x0, from(z0)))) MARK(after(after(x0, after(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(after(x0, after(z0, z1)))) MARK(after(after(x0, cons(z0, z1)), x2)) -> c7(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(after(x0, cons(z0, z1)))) MARK(after(after(x0, s(z0)), x2)) -> c7(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(after(x0, s(z0)))) MARK(after(after(x0, 0), x2)) -> c7(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(after(x0, 0))) MARK(after(after(from(z0), x1), x2)) -> c7(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(after(from(z0), x1))) MARK(after(after(after(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(after(after(z0, z1), x1))) MARK(after(after(cons(z0, z1), x1), x2)) -> c7(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(after(cons(z0, z1), x1))) MARK(after(after(s(z0), x1), x2)) -> c7(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(after(s(z0), x1))) MARK(after(after(0, x1), x2)) -> c7(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(after(0, x1))) MARK(after(after(x0, x1), x2)) -> c7(MARK(after(x0, x1))) MARK(after(s(from(z0)), x1)) -> c7(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(s(from(z0)))) MARK(after(s(after(z0, z1)), x1)) -> c7(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(s(after(z0, z1)))) MARK(after(s(cons(z0, z1)), x1)) -> c7(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(s(cons(z0, z1)))) MARK(after(s(s(z0)), x1)) -> c7(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(s(s(z0)))) MARK(after(s(0), x1)) -> c7(A__AFTER(s(0), mark(x1)), MARK(s(0))) MARK(after(s(x0), x1)) -> c7(MARK(s(x0))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(A__AFTER(mark(x0), from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(from(z0)))) -> c8(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) MARK(after(x0, from(after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) MARK(after(x0, from(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) MARK(after(x0, from(s(z0)))) -> c8(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) MARK(after(from(z0), from(x1))) -> c8(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(after(z0, z1), from(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(from(x1))) MARK(after(s(z0), from(x1))) -> c8(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(from(x1))) MARK(after(0, from(x1))) -> c8(A__AFTER(0, a__from(mark(x1))), MARK(from(x1))) MARK(after(x0, from(x1))) -> c8(MARK(from(x1))) MARK(after(cons(z0, z1), from(x1))) -> c8(MARK(from(x1))) MARK(after(x0, after(x1, x2))) -> c8(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(x0, after(x1, from(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(after(x1, from(z0)))) MARK(after(x0, after(x1, after(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(after(x1, after(z0, z1)))) MARK(after(x0, after(x1, cons(z0, z1)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(after(x1, cons(z0, z1)))) MARK(after(x0, after(x1, s(z0)))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__FROM_1, A__AFTER_2, MARK_1 Compound Symbols: c_1, c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2 ---------------------------------------- (173) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID)) Use forward instantiation to replace A__FROM(z0) -> c(MARK(z0)) by A__FROM(from(y0)) -> c(MARK(from(y0))) A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1))) A__FROM(s(y0)) -> c(MARK(s(y0))) A__FROM(after(cons(y0, y1), y2)) -> c(MARK(after(cons(y0, y1), y2))) A__FROM(after(0, y0)) -> c(MARK(after(0, y0))) A__FROM(after(y0, from(y1))) -> c(MARK(after(y0, from(y1)))) A__FROM(after(y0, from(from(y1)))) -> c(MARK(after(y0, from(from(y1))))) A__FROM(after(y0, from(after(y1, y2)))) -> c(MARK(after(y0, from(after(y1, y2))))) A__FROM(after(y0, from(cons(y1, y2)))) -> c(MARK(after(y0, from(cons(y1, y2))))) A__FROM(after(y0, from(s(y1)))) -> c(MARK(after(y0, from(s(y1))))) A__FROM(after(y0, from(0))) -> c(MARK(after(y0, from(0)))) A__FROM(after(from(y0), from(y1))) -> c(MARK(after(from(y0), from(y1)))) A__FROM(after(after(y0, y1), from(y2))) -> c(MARK(after(after(y0, y1), from(y2)))) A__FROM(after(s(y0), from(y1))) -> c(MARK(after(s(y0), from(y1)))) A__FROM(after(cons(y0, y1), from(y2))) -> c(MARK(after(cons(y0, y1), from(y2)))) A__FROM(after(0, from(y0))) -> c(MARK(after(0, from(y0)))) A__FROM(after(y0, after(y1, y2))) -> c(MARK(after(y0, after(y1, y2)))) A__FROM(after(y0, after(y1, from(y2)))) -> c(MARK(after(y0, after(y1, from(y2))))) A__FROM(after(y0, after(y1, after(y2, y3)))) -> c(MARK(after(y0, after(y1, after(y2, y3))))) A__FROM(after(y0, after(y1, cons(y2, y3)))) -> c(MARK(after(y0, after(y1, cons(y2, y3))))) A__FROM(after(y0, after(y1, s(y2)))) -> c(MARK(after(y0, after(y1, s(y2))))) A__FROM(after(y0, after(y1, 0))) -> c(MARK(after(y0, after(y1, 0)))) A__FROM(after(y0, after(from(y1), y2))) -> c(MARK(after(y0, after(from(y1), y2)))) A__FROM(after(y0, after(after(y1, y2), y3))) -> c(MARK(after(y0, after(after(y1, y2), y3)))) A__FROM(after(y0, after(cons(y1, y2), y3))) -> c(MARK(after(y0, after(cons(y1, y2), y3)))) A__FROM(after(y0, after(s(y1), y2))) -> c(MARK(after(y0, after(s(y1), y2)))) A__FROM(after(y0, after(0, y1))) -> c(MARK(after(y0, after(0, y1)))) A__FROM(after(from(y0), after(y1, y2))) -> c(MARK(after(from(y0), after(y1, y2)))) A__FROM(after(after(y0, y1), after(y2, y3))) -> c(MARK(after(after(y0, y1), after(y2, y3)))) A__FROM(after(s(y0), after(y1, y2))) -> c(MARK(after(s(y0), after(y1, y2)))) A__FROM(after(cons(y0, y1), after(y2, y3))) -> c(MARK(after(cons(y0, y1), after(y2, y3)))) A__FROM(after(0, after(y0, y1))) -> c(MARK(after(0, after(y0, y1)))) A__FROM(after(y0, cons(from(y1), y2))) -> c(MARK(after(y0, cons(from(y1), y2)))) A__FROM(after(y0, cons(after(y1, y2), y3))) -> c(MARK(after(y0, cons(after(y1, y2), y3)))) A__FROM(after(y0, cons(cons(y1, y2), y3))) -> c(MARK(after(y0, cons(cons(y1, y2), y3)))) A__FROM(after(y0, cons(s(y1), y2))) -> c(MARK(after(y0, cons(s(y1), y2)))) A__FROM(after(y0, cons(0, y1))) -> c(MARK(after(y0, cons(0, y1)))) A__FROM(after(from(y0), cons(y1, y2))) -> c(MARK(after(from(y0), cons(y1, y2)))) A__FROM(after(after(y0, y1), cons(y2, y3))) -> c(MARK(after(after(y0, y1), cons(y2, y3)))) A__FROM(after(s(y0), cons(y1, y2))) -> c(MARK(after(s(y0), cons(y1, y2)))) A__FROM(after(cons(y0, y1), cons(y2, y3))) -> c(MARK(after(cons(y0, y1), cons(y2, y3)))) A__FROM(after(0, cons(y0, y1))) -> c(MARK(after(0, cons(y0, y1)))) A__FROM(after(y0, s(from(y1)))) -> c(MARK(after(y0, s(from(y1))))) A__FROM(after(y0, s(after(y1, y2)))) -> c(MARK(after(y0, s(after(y1, y2))))) A__FROM(after(y0, s(cons(y1, y2)))) -> c(MARK(after(y0, s(cons(y1, y2))))) A__FROM(after(y0, s(s(y1)))) -> c(MARK(after(y0, s(s(y1))))) A__FROM(after(y0, s(0))) -> c(MARK(after(y0, s(0)))) A__FROM(after(from(y0), s(y1))) -> c(MARK(after(from(y0), s(y1)))) A__FROM(after(after(y0, y1), s(y2))) -> c(MARK(after(after(y0, y1), s(y2)))) A__FROM(after(cons(y0, y1), s(y2))) -> c(MARK(after(cons(y0, y1), s(y2)))) A__FROM(after(s(y0), s(y1))) -> c(MARK(after(s(y0), s(y1)))) A__FROM(after(0, s(y0))) -> c(MARK(after(0, s(y0)))) A__FROM(after(from(y0), 0)) -> c(MARK(after(from(y0), 0))) A__FROM(after(after(y0, y1), 0)) -> c(MARK(after(after(y0, y1), 0))) A__FROM(after(cons(y0, y1), 0)) -> c(MARK(after(cons(y0, y1), 0))) A__FROM(after(s(y0), 0)) -> c(MARK(after(s(y0), 0))) A__FROM(after(0, 0)) -> c(MARK(after(0, 0))) A__FROM(after(from(from(y0)), y1)) -> c(MARK(after(from(from(y0)), y1))) A__FROM(after(from(after(y0, y1)), y2)) -> c(MARK(after(from(after(y0, y1)), y2))) A__FROM(after(from(cons(y0, y1)), y2)) -> c(MARK(after(from(cons(y0, y1)), y2))) A__FROM(after(from(s(y0)), y1)) -> c(MARK(after(from(s(y0)), y1))) A__FROM(after(from(0), y0)) -> c(MARK(after(from(0), y0))) A__FROM(after(from(y0), y1)) -> c(MARK(after(from(y0), y1))) A__FROM(after(after(y0, from(y1)), y2)) -> c(MARK(after(after(y0, from(y1)), y2))) A__FROM(after(after(y0, after(y1, y2)), y3)) -> c(MARK(after(after(y0, after(y1, y2)), y3))) A__FROM(after(after(y0, cons(y1, y2)), y3)) -> c(MARK(after(after(y0, cons(y1, y2)), y3))) A__FROM(after(after(y0, s(y1)), y2)) -> c(MARK(after(after(y0, s(y1)), y2))) A__FROM(after(after(y0, 0), y1)) -> c(MARK(after(after(y0, 0), y1))) A__FROM(after(after(from(y0), y1), y2)) -> c(MARK(after(after(from(y0), y1), y2))) A__FROM(after(after(after(y0, y1), y2), y3)) -> c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, after(x1, x2))) -> c7(A__AFTER(0, a__after(mark(x1), mark(x2)))) MARK(after(x0, cons(from(z0), x2))) -> c7(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(after(x0, cons(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(x0)) MARK(after(x0, cons(s(z0), x2))) -> c7(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(x0)) MARK(after(x0, cons(0, x2))) -> c7(A__AFTER(mark(x0), cons(0, x2)), MARK(x0)) MARK(after(from(z0), cons(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(from(z0))) MARK(after(after(z0, z1), cons(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(after(z0, z1))) MARK(after(s(z0), cons(x1, x2))) -> c7(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(s(z0))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c7(MARK(cons(z0, z1))) MARK(after(0, cons(x1, x2))) -> c7(A__AFTER(0, cons(mark(x1), x2))) MARK(after(x0, s(from(z0)))) -> c7(A__AFTER(mark(x0), 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c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) S tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, 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a__after(mark(x1), s(mark(z0)))), MARK(after(x1, s(z0)))) MARK(after(x0, after(x1, 0))) -> c8(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(after(x1, 0))) MARK(after(x0, after(from(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(after(from(z0), x2))) MARK(after(x0, after(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(after(after(z0, z1), x2))) MARK(after(x0, after(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(after(cons(z0, z1), x2))) MARK(after(x0, after(s(z0), x2))) -> c8(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(after(s(z0), x2))) MARK(after(x0, after(0, x2))) -> c8(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(after(0, x2))) MARK(after(from(z0), after(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(after(z0, z1), after(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(s(z0), after(x1, x2))) -> c8(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(0, after(x1, x2))) -> c8(A__AFTER(0, a__after(mark(x1), mark(x2))), MARK(after(x1, x2))) MARK(after(cons(z0, z1), after(x1, x2))) -> c8(MARK(after(x1, x2))) MARK(after(x0, cons(from(z0), x2))) -> c8(A__AFTER(mark(x0), cons(a__from(mark(z0)), x2)), MARK(cons(from(z0), x2))) MARK(after(x0, cons(after(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x2)), MARK(cons(after(z0, z1), x2))) MARK(after(x0, cons(cons(z0, z1), x2))) -> c8(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x2)), MARK(cons(cons(z0, z1), x2))) MARK(after(x0, cons(s(z0), x2))) -> c8(A__AFTER(mark(x0), cons(s(mark(z0)), x2)), MARK(cons(s(z0), x2))) MARK(after(x0, cons(0, x2))) -> c8(A__AFTER(mark(x0), cons(0, x2)), MARK(cons(0, x2))) MARK(after(from(z0), cons(x1, x2))) -> c8(A__AFTER(a__from(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(after(z0, z1), cons(x1, x2))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(s(z0), cons(x1, x2))) -> c8(A__AFTER(s(mark(z0)), cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(0, cons(x1, x2))) -> c8(A__AFTER(0, cons(mark(x1), x2)), MARK(cons(x1, x2))) MARK(after(x0, cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(cons(z0, z1), cons(x1, x2))) -> c8(MARK(cons(x1, x2))) MARK(after(x0, s(from(z0)))) -> c8(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) MARK(after(x0, s(after(z0, z1)))) -> c8(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) MARK(after(x0, s(cons(z0, z1)))) -> c8(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) MARK(after(x0, s(s(z0)))) -> c8(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) MARK(after(x0, s(0))) -> c8(A__AFTER(mark(x0), s(0)), MARK(s(0))) MARK(after(from(z0), s(x1))) -> c8(A__AFTER(a__from(mark(z0)), s(mark(x1))), MARK(s(x1))) MARK(after(after(z0, z1), s(x1))) -> c8(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x1))), MARK(s(x1))) MARK(after(0, s(x1))) -> c8(A__AFTER(0, s(mark(x1))), MARK(s(x1))) MARK(after(x0, s(x1))) -> c8(MARK(s(x1))) MARK(after(cons(z0, z1), s(x1))) -> c8(MARK(s(x1))) MARK(after(s(z0), s(x1))) -> c8(MARK(s(x1))) MARK(after(from(from(z0)), x1)) -> c8(A__AFTER(a__from(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(after(z0, z1)), x1)) -> c8(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(from(cons(z0, z1)), x1)) -> c8(A__AFTER(a__from(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(from(s(z0)), x1)) -> c8(A__AFTER(a__from(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(from(0), x1)) -> c8(A__AFTER(a__from(0), mark(x1)), MARK(x1)) MARK(after(from(x0), 0)) -> c8(A__AFTER(a__from(mark(x0)), 0)) MARK(after(from(x0), x1)) -> c8(MARK(x1)) MARK(after(after(x0, from(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, after(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) MARK(after(after(x0, cons(z0, z1)), x2)) -> c8(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x2)), MARK(x2)) MARK(after(after(x0, s(z0)), x2)) -> c8(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x2)), MARK(x2)) MARK(after(after(x0, 0), x2)) -> c8(A__AFTER(a__after(mark(x0), 0), mark(x2)), MARK(x2)) MARK(after(after(from(z0), x1), x2)) -> c8(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(after(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(cons(z0, z1), x1), x2)) -> c8(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(s(z0), x1), x2)) -> c8(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(0, x1), x2)) -> c8(A__AFTER(a__after(0, mark(x1)), mark(x2)), MARK(x2)) MARK(after(after(x0, x1), 0)) -> c8(A__AFTER(a__after(mark(x0), mark(x1)), 0)) MARK(after(after(x0, x1), x2)) -> c8(MARK(x2)) MARK(after(s(from(z0)), x1)) -> c8(A__AFTER(s(a__from(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(after(z0, z1)), x1)) -> c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) A__FROM(from(y0)) -> c(MARK(from(y0))) A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1))) A__FROM(s(y0)) -> c(MARK(s(y0))) A__FROM(after(cons(y0, y1), y2)) -> c(MARK(after(cons(y0, y1), y2))) A__FROM(after(0, y0)) -> c(MARK(after(0, y0))) A__FROM(after(y0, from(y1))) -> c(MARK(after(y0, from(y1)))) A__FROM(after(y0, from(from(y1)))) -> c(MARK(after(y0, from(from(y1))))) A__FROM(after(y0, from(after(y1, y2)))) -> c(MARK(after(y0, from(after(y1, y2))))) A__FROM(after(y0, from(cons(y1, y2)))) -> c(MARK(after(y0, from(cons(y1, y2))))) A__FROM(after(y0, from(s(y1)))) -> c(MARK(after(y0, from(s(y1))))) A__FROM(after(y0, from(0))) -> c(MARK(after(y0, from(0)))) A__FROM(after(from(y0), from(y1))) -> c(MARK(after(from(y0), from(y1)))) A__FROM(after(after(y0, y1), from(y2))) -> c(MARK(after(after(y0, y1), from(y2)))) A__FROM(after(s(y0), from(y1))) -> c(MARK(after(s(y0), from(y1)))) A__FROM(after(cons(y0, y1), from(y2))) -> c(MARK(after(cons(y0, y1), from(y2)))) A__FROM(after(0, from(y0))) -> c(MARK(after(0, from(y0)))) A__FROM(after(y0, after(y1, y2))) -> c(MARK(after(y0, after(y1, y2)))) A__FROM(after(y0, after(y1, from(y2)))) -> c(MARK(after(y0, after(y1, from(y2))))) A__FROM(after(y0, after(y1, after(y2, y3)))) -> c(MARK(after(y0, after(y1, after(y2, y3))))) A__FROM(after(y0, after(y1, cons(y2, y3)))) -> c(MARK(after(y0, after(y1, cons(y2, y3))))) A__FROM(after(y0, after(y1, s(y2)))) -> c(MARK(after(y0, after(y1, s(y2))))) A__FROM(after(y0, after(y1, 0))) -> c(MARK(after(y0, after(y1, 0)))) A__FROM(after(y0, after(from(y1), y2))) -> c(MARK(after(y0, after(from(y1), y2)))) A__FROM(after(y0, after(after(y1, y2), y3))) -> c(MARK(after(y0, after(after(y1, y2), y3)))) A__FROM(after(y0, after(cons(y1, y2), y3))) -> c(MARK(after(y0, after(cons(y1, y2), y3)))) A__FROM(after(y0, after(s(y1), y2))) -> c(MARK(after(y0, after(s(y1), y2)))) A__FROM(after(y0, after(0, y1))) -> c(MARK(after(y0, after(0, y1)))) A__FROM(after(from(y0), after(y1, y2))) -> c(MARK(after(from(y0), after(y1, y2)))) A__FROM(after(after(y0, y1), after(y2, y3))) -> c(MARK(after(after(y0, y1), after(y2, y3)))) A__FROM(after(s(y0), after(y1, y2))) -> c(MARK(after(s(y0), after(y1, y2)))) A__FROM(after(cons(y0, y1), after(y2, y3))) -> c(MARK(after(cons(y0, y1), after(y2, y3)))) A__FROM(after(0, after(y0, y1))) -> c(MARK(after(0, after(y0, y1)))) A__FROM(after(y0, cons(from(y1), y2))) -> c(MARK(after(y0, cons(from(y1), y2)))) A__FROM(after(y0, cons(after(y1, y2), y3))) -> c(MARK(after(y0, cons(after(y1, y2), y3)))) A__FROM(after(y0, cons(cons(y1, y2), y3))) -> c(MARK(after(y0, cons(cons(y1, y2), y3)))) A__FROM(after(y0, cons(s(y1), y2))) -> c(MARK(after(y0, cons(s(y1), y2)))) A__FROM(after(y0, cons(0, y1))) -> c(MARK(after(y0, cons(0, y1)))) A__FROM(after(from(y0), cons(y1, y2))) -> c(MARK(after(from(y0), cons(y1, y2)))) A__FROM(after(after(y0, y1), cons(y2, y3))) -> c(MARK(after(after(y0, y1), cons(y2, y3)))) A__FROM(after(s(y0), cons(y1, y2))) -> c(MARK(after(s(y0), cons(y1, y2)))) A__FROM(after(cons(y0, y1), cons(y2, y3))) -> c(MARK(after(cons(y0, y1), cons(y2, y3)))) A__FROM(after(0, cons(y0, y1))) -> c(MARK(after(0, cons(y0, y1)))) A__FROM(after(y0, s(from(y1)))) -> c(MARK(after(y0, s(from(y1))))) A__FROM(after(y0, s(after(y1, y2)))) -> c(MARK(after(y0, s(after(y1, y2))))) A__FROM(after(y0, s(cons(y1, y2)))) -> c(MARK(after(y0, s(cons(y1, y2))))) A__FROM(after(y0, s(s(y1)))) -> c(MARK(after(y0, s(s(y1))))) A__FROM(after(y0, s(0))) -> c(MARK(after(y0, s(0)))) A__FROM(after(from(y0), s(y1))) -> c(MARK(after(from(y0), s(y1)))) A__FROM(after(after(y0, y1), s(y2))) -> c(MARK(after(after(y0, y1), s(y2)))) A__FROM(after(cons(y0, y1), s(y2))) -> c(MARK(after(cons(y0, y1), s(y2)))) A__FROM(after(s(y0), s(y1))) -> c(MARK(after(s(y0), s(y1)))) A__FROM(after(0, s(y0))) -> c(MARK(after(0, s(y0)))) A__FROM(after(from(y0), 0)) -> c(MARK(after(from(y0), 0))) A__FROM(after(after(y0, y1), 0)) -> c(MARK(after(after(y0, y1), 0))) A__FROM(after(cons(y0, y1), 0)) -> c(MARK(after(cons(y0, y1), 0))) A__FROM(after(s(y0), 0)) -> c(MARK(after(s(y0), 0))) A__FROM(after(0, 0)) -> c(MARK(after(0, 0))) A__FROM(after(from(from(y0)), y1)) -> c(MARK(after(from(from(y0)), y1))) A__FROM(after(from(after(y0, y1)), y2)) -> c(MARK(after(from(after(y0, y1)), y2))) A__FROM(after(from(cons(y0, y1)), y2)) -> c(MARK(after(from(cons(y0, y1)), y2))) A__FROM(after(from(s(y0)), y1)) -> c(MARK(after(from(s(y0)), y1))) A__FROM(after(from(0), y0)) -> c(MARK(after(from(0), y0))) A__FROM(after(from(y0), y1)) -> c(MARK(after(from(y0), y1))) A__FROM(after(after(y0, from(y1)), y2)) -> c(MARK(after(after(y0, from(y1)), y2))) A__FROM(after(after(y0, after(y1, y2)), y3)) -> c(MARK(after(after(y0, after(y1, y2)), y3))) A__FROM(after(after(y0, cons(y1, y2)), y3)) -> c(MARK(after(after(y0, cons(y1, y2)), y3))) A__FROM(after(after(y0, s(y1)), y2)) -> c(MARK(after(after(y0, s(y1)), y2))) A__FROM(after(after(y0, 0), y1)) -> c(MARK(after(after(y0, 0), y1))) A__FROM(after(after(from(y0), y1), y2)) -> c(MARK(after(after(from(y0), y1), y2))) A__FROM(after(after(after(y0, y1), y2), y3)) -> c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__AFTER_2, MARK_1, A__FROM_1 Compound Symbols: c2_1, c6_2, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2, c_1 ---------------------------------------- (175) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) by MARK(from(from(z0))) -> c6(A__FROM(a__from(mark(z0))), MARK(from(z0))) MARK(from(after(z0, z1))) -> c6(A__FROM(a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(from(cons(z0, z1))) -> c6(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(from(s(z0))) -> c6(A__FROM(s(mark(z0))), MARK(s(z0))) MARK(from(0)) -> c6(A__FROM(0), MARK(0)) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) 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c(MARK(after(y0, from(s(y1))))) A__FROM(after(y0, from(0))) -> c(MARK(after(y0, from(0)))) A__FROM(after(from(y0), from(y1))) -> c(MARK(after(from(y0), from(y1)))) A__FROM(after(after(y0, y1), from(y2))) -> c(MARK(after(after(y0, y1), from(y2)))) A__FROM(after(s(y0), from(y1))) -> c(MARK(after(s(y0), from(y1)))) A__FROM(after(cons(y0, y1), from(y2))) -> c(MARK(after(cons(y0, y1), from(y2)))) A__FROM(after(0, from(y0))) -> c(MARK(after(0, from(y0)))) A__FROM(after(y0, after(y1, y2))) -> c(MARK(after(y0, after(y1, y2)))) A__FROM(after(y0, after(y1, from(y2)))) -> c(MARK(after(y0, after(y1, from(y2))))) A__FROM(after(y0, after(y1, after(y2, y3)))) -> c(MARK(after(y0, after(y1, after(y2, y3))))) A__FROM(after(y0, after(y1, cons(y2, y3)))) -> c(MARK(after(y0, after(y1, cons(y2, y3))))) A__FROM(after(y0, after(y1, s(y2)))) -> c(MARK(after(y0, after(y1, s(y2))))) A__FROM(after(y0, after(y1, 0))) -> c(MARK(after(y0, after(y1, 0)))) A__FROM(after(y0, after(from(y1), y2))) -> c(MARK(after(y0, 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c(MARK(after(after(y0, from(y1)), y2))) A__FROM(after(after(y0, after(y1, y2)), y3)) -> c(MARK(after(after(y0, after(y1, y2)), y3))) A__FROM(after(after(y0, cons(y1, y2)), y3)) -> c(MARK(after(after(y0, cons(y1, y2)), y3))) A__FROM(after(after(y0, s(y1)), y2)) -> c(MARK(after(after(y0, s(y1)), y2))) A__FROM(after(after(y0, 0), y1)) -> c(MARK(after(after(y0, 0), y1))) A__FROM(after(after(from(y0), y1), y2)) -> c(MARK(after(after(from(y0), y1), y2))) A__FROM(after(after(after(y0, y1), y2), y3)) -> c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) MARK(from(from(z0))) -> c6(A__FROM(a__from(mark(z0))), MARK(from(z0))) MARK(from(after(z0, z1))) -> c6(A__FROM(a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(from(cons(z0, z1))) -> c6(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(from(s(z0))) -> c6(A__FROM(s(mark(z0))), MARK(s(z0))) MARK(from(0)) -> c6(A__FROM(0), MARK(0)) S tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> 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c8(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x1)), MARK(x1)) MARK(after(s(cons(z0, z1)), x1)) -> c8(A__AFTER(s(cons(mark(z0), z1)), mark(x1)), MARK(x1)) MARK(after(s(s(z0)), x1)) -> c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) A__FROM(from(y0)) -> c(MARK(from(y0))) A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1))) A__FROM(s(y0)) -> c(MARK(s(y0))) A__FROM(after(cons(y0, y1), y2)) -> c(MARK(after(cons(y0, y1), y2))) A__FROM(after(0, y0)) -> c(MARK(after(0, y0))) A__FROM(after(y0, from(y1))) -> c(MARK(after(y0, from(y1)))) A__FROM(after(y0, from(from(y1)))) -> c(MARK(after(y0, from(from(y1))))) A__FROM(after(y0, from(after(y1, y2)))) -> c(MARK(after(y0, from(after(y1, y2))))) A__FROM(after(y0, from(cons(y1, y2)))) -> c(MARK(after(y0, from(cons(y1, y2))))) A__FROM(after(y0, from(s(y1)))) -> c(MARK(after(y0, from(s(y1))))) A__FROM(after(y0, from(0))) -> c(MARK(after(y0, from(0)))) A__FROM(after(from(y0), from(y1))) -> c(MARK(after(from(y0), from(y1)))) A__FROM(after(after(y0, y1), from(y2))) -> c(MARK(after(after(y0, y1), from(y2)))) A__FROM(after(s(y0), from(y1))) -> c(MARK(after(s(y0), from(y1)))) A__FROM(after(cons(y0, y1), from(y2))) -> c(MARK(after(cons(y0, y1), from(y2)))) A__FROM(after(0, from(y0))) -> c(MARK(after(0, from(y0)))) A__FROM(after(y0, after(y1, y2))) -> c(MARK(after(y0, after(y1, y2)))) A__FROM(after(y0, after(y1, from(y2)))) -> c(MARK(after(y0, after(y1, from(y2))))) A__FROM(after(y0, after(y1, after(y2, y3)))) -> c(MARK(after(y0, after(y1, after(y2, y3))))) A__FROM(after(y0, after(y1, cons(y2, y3)))) -> c(MARK(after(y0, after(y1, cons(y2, y3))))) A__FROM(after(y0, after(y1, s(y2)))) -> c(MARK(after(y0, after(y1, s(y2))))) A__FROM(after(y0, after(y1, 0))) -> c(MARK(after(y0, after(y1, 0)))) A__FROM(after(y0, after(from(y1), y2))) -> c(MARK(after(y0, after(from(y1), y2)))) A__FROM(after(y0, after(after(y1, y2), y3))) -> c(MARK(after(y0, after(after(y1, y2), y3)))) A__FROM(after(y0, after(cons(y1, y2), y3))) -> c(MARK(after(y0, after(cons(y1, y2), y3)))) A__FROM(after(y0, after(s(y1), y2))) -> c(MARK(after(y0, after(s(y1), y2)))) A__FROM(after(y0, after(0, y1))) -> c(MARK(after(y0, after(0, y1)))) A__FROM(after(from(y0), after(y1, y2))) -> c(MARK(after(from(y0), after(y1, y2)))) A__FROM(after(after(y0, y1), after(y2, y3))) -> c(MARK(after(after(y0, y1), after(y2, y3)))) A__FROM(after(s(y0), after(y1, y2))) -> c(MARK(after(s(y0), after(y1, y2)))) A__FROM(after(cons(y0, y1), after(y2, y3))) -> c(MARK(after(cons(y0, y1), after(y2, y3)))) A__FROM(after(0, after(y0, y1))) -> c(MARK(after(0, after(y0, y1)))) A__FROM(after(y0, cons(from(y1), y2))) -> c(MARK(after(y0, cons(from(y1), y2)))) A__FROM(after(y0, cons(after(y1, y2), y3))) -> c(MARK(after(y0, cons(after(y1, y2), y3)))) A__FROM(after(y0, cons(cons(y1, y2), y3))) -> c(MARK(after(y0, cons(cons(y1, y2), y3)))) A__FROM(after(y0, cons(s(y1), y2))) -> c(MARK(after(y0, cons(s(y1), y2)))) A__FROM(after(y0, cons(0, y1))) -> c(MARK(after(y0, cons(0, y1)))) A__FROM(after(from(y0), cons(y1, y2))) -> c(MARK(after(from(y0), cons(y1, y2)))) A__FROM(after(after(y0, y1), cons(y2, y3))) -> c(MARK(after(after(y0, y1), cons(y2, y3)))) A__FROM(after(s(y0), cons(y1, y2))) -> c(MARK(after(s(y0), cons(y1, y2)))) A__FROM(after(cons(y0, y1), cons(y2, y3))) -> c(MARK(after(cons(y0, y1), cons(y2, y3)))) A__FROM(after(0, cons(y0, y1))) -> c(MARK(after(0, cons(y0, y1)))) A__FROM(after(y0, s(from(y1)))) -> c(MARK(after(y0, s(from(y1))))) A__FROM(after(y0, s(after(y1, y2)))) -> c(MARK(after(y0, s(after(y1, y2))))) A__FROM(after(y0, s(cons(y1, y2)))) -> c(MARK(after(y0, s(cons(y1, y2))))) A__FROM(after(y0, s(s(y1)))) -> c(MARK(after(y0, s(s(y1))))) A__FROM(after(y0, s(0))) -> c(MARK(after(y0, s(0)))) A__FROM(after(from(y0), s(y1))) -> c(MARK(after(from(y0), s(y1)))) A__FROM(after(after(y0, y1), s(y2))) -> c(MARK(after(after(y0, y1), s(y2)))) A__FROM(after(cons(y0, y1), s(y2))) -> c(MARK(after(cons(y0, y1), s(y2)))) A__FROM(after(s(y0), s(y1))) -> c(MARK(after(s(y0), s(y1)))) A__FROM(after(0, s(y0))) -> c(MARK(after(0, s(y0)))) A__FROM(after(from(y0), 0)) -> c(MARK(after(from(y0), 0))) A__FROM(after(after(y0, y1), 0)) -> c(MARK(after(after(y0, y1), 0))) A__FROM(after(cons(y0, y1), 0)) -> c(MARK(after(cons(y0, y1), 0))) A__FROM(after(s(y0), 0)) -> c(MARK(after(s(y0), 0))) A__FROM(after(0, 0)) -> c(MARK(after(0, 0))) A__FROM(after(from(from(y0)), y1)) -> c(MARK(after(from(from(y0)), y1))) A__FROM(after(from(after(y0, y1)), y2)) -> c(MARK(after(from(after(y0, y1)), y2))) A__FROM(after(from(cons(y0, y1)), y2)) -> c(MARK(after(from(cons(y0, y1)), y2))) A__FROM(after(from(s(y0)), y1)) -> c(MARK(after(from(s(y0)), y1))) A__FROM(after(from(0), y0)) -> c(MARK(after(from(0), y0))) A__FROM(after(from(y0), y1)) -> c(MARK(after(from(y0), y1))) A__FROM(after(after(y0, from(y1)), y2)) -> c(MARK(after(after(y0, from(y1)), y2))) A__FROM(after(after(y0, after(y1, y2)), y3)) -> c(MARK(after(after(y0, after(y1, y2)), y3))) A__FROM(after(after(y0, cons(y1, y2)), y3)) -> c(MARK(after(after(y0, cons(y1, y2)), y3))) A__FROM(after(after(y0, s(y1)), y2)) -> c(MARK(after(after(y0, s(y1)), y2))) A__FROM(after(after(y0, 0), y1)) -> c(MARK(after(after(y0, 0), y1))) A__FROM(after(after(from(y0), y1), y2)) -> c(MARK(after(after(from(y0), y1), y2))) A__FROM(after(after(after(y0, y1), y2), y3)) -> c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) MARK(from(from(z0))) -> c6(A__FROM(a__from(mark(z0))), MARK(from(z0))) MARK(from(after(z0, z1))) -> c6(A__FROM(a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(from(cons(z0, z1))) -> c6(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(from(s(z0))) -> c6(A__FROM(s(mark(z0))), MARK(s(z0))) MARK(from(0)) -> c6(A__FROM(0), MARK(0)) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__AFTER_2, MARK_1, A__FROM_1 Compound Symbols: c2_1, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2, c_1, c6_2 ---------------------------------------- (177) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(from(0)) -> c6(A__FROM(0), MARK(0)) ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), 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c8(A__AFTER(s(s(mark(z0))), mark(x1)), MARK(x1)) MARK(after(s(0), x1)) -> c8(A__AFTER(s(0), mark(x1)), MARK(x1)) MARK(after(0, 0)) -> c8(A__AFTER(0, 0)) A__FROM(from(y0)) -> c(MARK(from(y0))) A__FROM(cons(y0, y1)) -> c(MARK(cons(y0, y1))) A__FROM(s(y0)) -> c(MARK(s(y0))) A__FROM(after(cons(y0, y1), y2)) -> c(MARK(after(cons(y0, y1), y2))) A__FROM(after(0, y0)) -> c(MARK(after(0, y0))) A__FROM(after(y0, from(y1))) -> c(MARK(after(y0, from(y1)))) A__FROM(after(y0, from(from(y1)))) -> c(MARK(after(y0, from(from(y1))))) A__FROM(after(y0, from(after(y1, y2)))) -> c(MARK(after(y0, from(after(y1, y2))))) A__FROM(after(y0, from(cons(y1, y2)))) -> c(MARK(after(y0, from(cons(y1, y2))))) A__FROM(after(y0, from(s(y1)))) -> c(MARK(after(y0, from(s(y1))))) A__FROM(after(y0, from(0))) -> c(MARK(after(y0, from(0)))) A__FROM(after(from(y0), from(y1))) -> c(MARK(after(from(y0), from(y1)))) A__FROM(after(after(y0, y1), from(y2))) -> c(MARK(after(after(y0, y1), from(y2)))) A__FROM(after(s(y0), from(y1))) -> c(MARK(after(s(y0), from(y1)))) A__FROM(after(cons(y0, y1), from(y2))) -> c(MARK(after(cons(y0, y1), from(y2)))) A__FROM(after(0, from(y0))) -> c(MARK(after(0, from(y0)))) A__FROM(after(y0, after(y1, y2))) -> c(MARK(after(y0, after(y1, y2)))) A__FROM(after(y0, after(y1, from(y2)))) -> c(MARK(after(y0, after(y1, from(y2))))) A__FROM(after(y0, after(y1, after(y2, y3)))) -> c(MARK(after(y0, after(y1, after(y2, y3))))) A__FROM(after(y0, after(y1, cons(y2, y3)))) -> c(MARK(after(y0, after(y1, cons(y2, y3))))) A__FROM(after(y0, after(y1, s(y2)))) -> c(MARK(after(y0, after(y1, s(y2))))) A__FROM(after(y0, after(y1, 0))) -> c(MARK(after(y0, after(y1, 0)))) A__FROM(after(y0, after(from(y1), y2))) -> c(MARK(after(y0, after(from(y1), y2)))) A__FROM(after(y0, after(after(y1, y2), y3))) -> c(MARK(after(y0, after(after(y1, y2), y3)))) A__FROM(after(y0, after(cons(y1, y2), y3))) -> c(MARK(after(y0, after(cons(y1, y2), y3)))) A__FROM(after(y0, after(s(y1), y2))) -> c(MARK(after(y0, after(s(y1), y2)))) A__FROM(after(y0, after(0, y1))) -> c(MARK(after(y0, after(0, y1)))) A__FROM(after(from(y0), after(y1, y2))) -> c(MARK(after(from(y0), after(y1, y2)))) A__FROM(after(after(y0, y1), after(y2, y3))) -> c(MARK(after(after(y0, y1), after(y2, y3)))) A__FROM(after(s(y0), after(y1, y2))) -> c(MARK(after(s(y0), after(y1, y2)))) A__FROM(after(cons(y0, y1), after(y2, y3))) -> c(MARK(after(cons(y0, y1), after(y2, y3)))) A__FROM(after(0, after(y0, y1))) -> c(MARK(after(0, after(y0, y1)))) A__FROM(after(y0, cons(from(y1), y2))) -> c(MARK(after(y0, cons(from(y1), y2)))) A__FROM(after(y0, cons(after(y1, y2), y3))) -> c(MARK(after(y0, cons(after(y1, y2), y3)))) A__FROM(after(y0, cons(cons(y1, y2), y3))) -> c(MARK(after(y0, cons(cons(y1, y2), y3)))) A__FROM(after(y0, cons(s(y1), y2))) -> c(MARK(after(y0, cons(s(y1), y2)))) A__FROM(after(y0, cons(0, y1))) -> c(MARK(after(y0, cons(0, y1)))) A__FROM(after(from(y0), cons(y1, y2))) -> c(MARK(after(from(y0), cons(y1, y2)))) A__FROM(after(after(y0, y1), cons(y2, y3))) -> c(MARK(after(after(y0, y1), cons(y2, y3)))) A__FROM(after(s(y0), cons(y1, y2))) -> c(MARK(after(s(y0), cons(y1, y2)))) A__FROM(after(cons(y0, y1), cons(y2, y3))) -> c(MARK(after(cons(y0, y1), cons(y2, y3)))) A__FROM(after(0, cons(y0, y1))) -> c(MARK(after(0, cons(y0, y1)))) A__FROM(after(y0, s(from(y1)))) -> c(MARK(after(y0, s(from(y1))))) A__FROM(after(y0, s(after(y1, y2)))) -> c(MARK(after(y0, s(after(y1, y2))))) A__FROM(after(y0, s(cons(y1, y2)))) -> c(MARK(after(y0, s(cons(y1, y2))))) A__FROM(after(y0, s(s(y1)))) -> c(MARK(after(y0, s(s(y1))))) A__FROM(after(y0, s(0))) -> c(MARK(after(y0, s(0)))) A__FROM(after(from(y0), s(y1))) -> c(MARK(after(from(y0), s(y1)))) A__FROM(after(after(y0, y1), s(y2))) -> c(MARK(after(after(y0, y1), s(y2)))) A__FROM(after(cons(y0, y1), s(y2))) -> c(MARK(after(cons(y0, y1), s(y2)))) A__FROM(after(s(y0), s(y1))) -> c(MARK(after(s(y0), s(y1)))) A__FROM(after(0, s(y0))) -> c(MARK(after(0, s(y0)))) A__FROM(after(from(y0), 0)) -> c(MARK(after(from(y0), 0))) A__FROM(after(after(y0, y1), 0)) -> c(MARK(after(after(y0, y1), 0))) A__FROM(after(cons(y0, y1), 0)) -> c(MARK(after(cons(y0, y1), 0))) A__FROM(after(s(y0), 0)) -> c(MARK(after(s(y0), 0))) A__FROM(after(0, 0)) -> c(MARK(after(0, 0))) A__FROM(after(from(from(y0)), y1)) -> c(MARK(after(from(from(y0)), y1))) A__FROM(after(from(after(y0, y1)), y2)) -> c(MARK(after(from(after(y0, y1)), y2))) A__FROM(after(from(cons(y0, y1)), y2)) -> c(MARK(after(from(cons(y0, y1)), y2))) A__FROM(after(from(s(y0)), y1)) -> c(MARK(after(from(s(y0)), y1))) A__FROM(after(from(0), y0)) -> c(MARK(after(from(0), y0))) A__FROM(after(from(y0), y1)) -> c(MARK(after(from(y0), y1))) A__FROM(after(after(y0, from(y1)), y2)) -> c(MARK(after(after(y0, from(y1)), y2))) A__FROM(after(after(y0, after(y1, y2)), y3)) -> c(MARK(after(after(y0, after(y1, y2)), y3))) A__FROM(after(after(y0, cons(y1, y2)), y3)) -> c(MARK(after(after(y0, cons(y1, y2)), y3))) A__FROM(after(after(y0, s(y1)), y2)) -> c(MARK(after(after(y0, s(y1)), y2))) A__FROM(after(after(y0, 0), y1)) -> c(MARK(after(after(y0, 0), y1))) A__FROM(after(after(from(y0), y1), y2)) -> c(MARK(after(after(from(y0), y1), y2))) A__FROM(after(after(after(y0, y1), y2), y3)) -> c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) MARK(from(from(z0))) -> c6(A__FROM(a__from(mark(z0))), MARK(from(z0))) MARK(from(after(z0, z1))) -> c6(A__FROM(a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(from(cons(z0, z1))) -> c6(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(from(s(z0))) -> c6(A__FROM(s(mark(z0))), MARK(s(z0))) S tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2)), MARK(from(0))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0)), MARK(from(0))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c4(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(x3)) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c4(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(x3)) A__AFTER(s(after(x0, x1)), cons(x2, 0)) -> c4(A__AFTER(a__after(mark(x0), mark(x1)), 0)) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c4(MARK(x3)) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c4(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c4(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(s(0)), cons(x1, x2)) -> c4(A__AFTER(s(0), mark(x2)), MARK(x2)) A__AFTER(s(0), cons(x1, 0)) -> c4(A__AFTER(0, 0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), cons(mark(mark(x1)), from(s(mark(x1))))), MARK(x0)) MARK(after(x0, from(x1))) -> c7(A__AFTER(mark(x0), from(mark(x1))), MARK(x0)) MARK(after(x0, from(from(z0)))) -> c7(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) MARK(after(x0, from(after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, from(cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, from(s(z0)))) -> c7(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) MARK(after(x0, from(0))) -> c7(A__AFTER(mark(x0), a__from(0)), MARK(x0)) MARK(after(from(z0), from(x1))) -> c7(A__AFTER(a__from(mark(z0)), a__from(mark(x1))), MARK(from(z0))) MARK(after(after(z0, z1), from(x1))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x1))), MARK(after(z0, z1))) MARK(after(s(z0), from(x1))) -> c7(A__AFTER(s(mark(z0)), a__from(mark(x1))), MARK(s(z0))) MARK(after(cons(z0, z1), from(x1))) -> c7(MARK(cons(z0, z1))) MARK(after(0, from(x1))) -> c7(A__AFTER(0, a__from(mark(x1)))) MARK(after(x0, after(x1, x2))) -> c7(A__AFTER(mark(x0), after(mark(x1), mark(x2))), MARK(x0)) MARK(after(x0, after(x1, from(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__from(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, after(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), a__after(mark(z0), mark(z1)))), MARK(x0)) MARK(after(x0, after(x1, cons(z0, z1)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), cons(mark(z0), z1))), MARK(x0)) MARK(after(x0, after(x1, s(z0)))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), s(mark(z0)))), MARK(x0)) MARK(after(x0, after(x1, 0))) -> c7(A__AFTER(mark(x0), a__after(mark(x1), 0)), MARK(x0)) MARK(after(x0, after(from(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(after(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(after(x0, after(cons(z0, z1), x2))) -> c7(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x2))), MARK(x0)) MARK(after(x0, after(s(z0), x2))) -> c7(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x2))), MARK(x0)) MARK(after(x0, after(0, x2))) -> c7(A__AFTER(mark(x0), a__after(0, mark(x2))), MARK(x0)) MARK(after(from(z0), after(x1, x2))) -> c7(A__AFTER(a__from(mark(z0)), a__after(mark(x1), mark(x2))), MARK(from(z0))) MARK(after(after(z0, z1), after(x1, x2))) -> c7(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x1), mark(x2))), MARK(after(z0, z1))) MARK(after(s(z0), after(x1, x2))) -> c7(A__AFTER(s(mark(z0)), a__after(mark(x1), mark(x2))), MARK(s(z0))) MARK(after(cons(z0, z1), after(x1, x2))) -> 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c(MARK(after(after(y0, y1), 0))) A__FROM(after(cons(y0, y1), 0)) -> c(MARK(after(cons(y0, y1), 0))) A__FROM(after(s(y0), 0)) -> c(MARK(after(s(y0), 0))) A__FROM(after(0, 0)) -> c(MARK(after(0, 0))) A__FROM(after(from(from(y0)), y1)) -> c(MARK(after(from(from(y0)), y1))) A__FROM(after(from(after(y0, y1)), y2)) -> c(MARK(after(from(after(y0, y1)), y2))) A__FROM(after(from(cons(y0, y1)), y2)) -> c(MARK(after(from(cons(y0, y1)), y2))) A__FROM(after(from(s(y0)), y1)) -> c(MARK(after(from(s(y0)), y1))) A__FROM(after(from(0), y0)) -> c(MARK(after(from(0), y0))) A__FROM(after(from(y0), y1)) -> c(MARK(after(from(y0), y1))) A__FROM(after(after(y0, from(y1)), y2)) -> c(MARK(after(after(y0, from(y1)), y2))) A__FROM(after(after(y0, after(y1, y2)), y3)) -> c(MARK(after(after(y0, after(y1, y2)), y3))) A__FROM(after(after(y0, cons(y1, y2)), y3)) -> c(MARK(after(after(y0, cons(y1, y2)), y3))) A__FROM(after(after(y0, s(y1)), y2)) -> c(MARK(after(after(y0, s(y1)), y2))) A__FROM(after(after(y0, 0), y1)) -> c(MARK(after(after(y0, 0), y1))) A__FROM(after(after(from(y0), y1), y2)) -> c(MARK(after(after(from(y0), y1), y2))) A__FROM(after(after(after(y0, y1), y2), y3)) -> c(MARK(after(after(after(y0, y1), y2), y3))) A__FROM(after(after(cons(y0, y1), y2), y3)) -> c(MARK(after(after(cons(y0, y1), y2), y3))) A__FROM(after(after(s(y0), y1), y2)) -> c(MARK(after(after(s(y0), y1), y2))) A__FROM(after(after(0, y0), y1)) -> c(MARK(after(after(0, y0), y1))) A__FROM(after(after(y0, y1), y2)) -> c(MARK(after(after(y0, y1), y2))) A__FROM(after(s(from(y0)), y1)) -> c(MARK(after(s(from(y0)), y1))) A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) MARK(from(from(z0))) -> c6(A__FROM(a__from(mark(z0))), MARK(from(z0))) MARK(from(after(z0, z1))) -> c6(A__FROM(a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(from(cons(z0, z1))) -> c6(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(from(s(z0))) -> c6(A__FROM(s(mark(z0))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__from_1, a__after_2, mark_1 Defined Pair Symbols: A__AFTER_2, MARK_1, A__FROM_1 Compound Symbols: c2_1, c9_1, c10_1, c3_1, c4_2, c4_1, c7_1, c8_2, c8_1, c3_2, c7_2, c_1, c6_2 ---------------------------------------- (179) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__after(0, z0) -> mark(z0) a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) a__after(z0, z1) -> after(z0, z1) mark(from(z0)) -> a__from(mark(z0)) mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) mark(cons(z0, z1)) -> cons(mark(z0), z1) mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), 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A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, s(mark(x2))), MARK(s(x2))) A__AFTER(s(x0), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c4(MARK(s(x2))) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c4(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(x2)) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c4(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(x2)) A__AFTER(s(from(0)), cons(x1, x2)) -> c4(A__AFTER(a__from(0), mark(x2)), MARK(x2)) A__AFTER(s(from(x0)), cons(x1, 0)) -> c4(A__AFTER(a__from(mark(x0)), 0)) A__AFTER(s(from(x0)), cons(x1, x2)) -> c4(MARK(x2)) A__AFTER(s(after(x0, from(z0))), cons(x2, 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A__FROM(after(s(after(y0, y1)), y2)) -> c(MARK(after(s(after(y0, y1)), y2))) A__FROM(after(s(cons(y0, y1)), y2)) -> c(MARK(after(s(cons(y0, y1)), y2))) A__FROM(after(s(s(y0)), y1)) -> c(MARK(after(s(s(y0)), y1))) A__FROM(after(s(0), y0)) -> c(MARK(after(s(0), y0))) A__FROM(after(s(y0), y1)) -> c(MARK(after(s(y0), y1))) A__FROM(after(y0, cons(y1, y2))) -> c(MARK(after(y0, cons(y1, y2)))) A__FROM(after(y0, s(y1))) -> c(MARK(after(y0, s(y1)))) MARK(from(from(z0))) -> c6(A__FROM(a__from(mark(z0))), MARK(from(z0))) MARK(from(after(z0, z1))) -> c6(A__FROM(a__after(mark(z0), mark(z1))), MARK(after(z0, z1))) MARK(from(cons(z0, z1))) -> c6(A__FROM(cons(mark(z0), z1)), MARK(cons(z0, z1))) MARK(from(s(z0))) -> c6(A__FROM(s(mark(z0))), MARK(s(z0))) A__AFTER(s(from(0)), cons(x1, x2)) -> c3(A__AFTER(a__from(0), mark(x2))) A__AFTER(s(x0), cons(x1, from(0))) -> c4(A__AFTER(mark(x0), a__from(0))) MARK(after(from(0), x1)) -> c7(A__AFTER(a__from(0), mark(x1))) MARK(after(x0, from(0))) -> c8(A__AFTER(mark(x0), a__from(0))) S tuples: A__AFTER(0, z0) -> c2(MARK(z0)) MARK(cons(z0, z1)) -> c9(MARK(z0)) MARK(s(z0)) -> c10(MARK(z0)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, x2)) -> c3(A__AFTER(0, mark(x2))) A__AFTER(s(0), cons(x1, x2)) -> c4(A__AFTER(0, mark(x2)), MARK(x2)) A__AFTER(s(cons(z0, z1)), cons(x1, x2)) -> c4(MARK(x2)) MARK(after(cons(z0, z1), x1)) -> c7(MARK(cons(z0, z1))) MARK(after(0, x1)) -> c7(A__AFTER(0, mark(x1))) MARK(after(0, x1)) -> c8(A__AFTER(0, mark(x1)), MARK(x1)) MARK(after(cons(z0, z1), x1)) -> c8(MARK(x1)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(x2))) -> c3(A__AFTER(mark(x0), from(mark(x2))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c3(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c3(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, from(0))) -> c3(A__AFTER(mark(x0), a__from(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c3(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c3(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, from(x2))) -> c3(A__AFTER(0, a__from(mark(x2)))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c3(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c3(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(x0)) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c3(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(x0)) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c3(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c3(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c3(A__AFTER(0, a__after(mark(x2), mark(x3)))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c3(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c3(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c3(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(x0)) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c3(A__AFTER(mark(x0), cons(0, x3)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(after(z0, z1))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c3(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(s(z0))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c3(A__AFTER(0, cons(mark(x2), x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c3(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c3(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c3(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c3(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(x0)) A__AFTER(s(x0), cons(x1, s(0))) -> c3(A__AFTER(mark(x0), s(0)), MARK(x0)) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c3(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, s(x2))) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, s(x2))) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, s(x2))) -> c3(A__AFTER(0, s(mark(x2)))) A__AFTER(s(from(z0)), cons(x1, 0)) -> c3(A__AFTER(a__from(mark(z0)), 0), MARK(from(z0))) A__AFTER(s(after(z0, z1)), cons(x1, 0)) -> c3(A__AFTER(a__after(mark(z0), mark(z1)), 0), MARK(after(z0, z1))) A__AFTER(s(cons(z0, z1)), cons(x1, 0)) -> c3(MARK(cons(z0, z1))) A__AFTER(s(s(z0)), cons(x1, 0)) -> c3(MARK(s(z0))) A__AFTER(s(0), cons(x1, 0)) -> c3(A__AFTER(0, 0)) A__AFTER(s(from(from(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__from(mark(z0))), mark(x2)), MARK(from(from(z0)))) A__AFTER(s(from(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(a__after(mark(z0), mark(z1))), mark(x2)), MARK(from(after(z0, z1)))) A__AFTER(s(from(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(a__from(cons(mark(z0), z1)), mark(x2)), MARK(from(cons(z0, z1)))) A__AFTER(s(from(s(z0))), cons(x1, x2)) -> c3(A__AFTER(a__from(s(mark(z0))), mark(x2)), MARK(from(s(z0)))) A__AFTER(s(from(x0)), cons(x1, x2)) -> c3(MARK(from(x0))) A__AFTER(s(after(x0, from(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__from(mark(z0))), mark(x3)), MARK(after(x0, from(z0)))) A__AFTER(s(after(x0, after(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), a__after(mark(z0), mark(z1))), mark(x3)), MARK(after(x0, after(z0, z1)))) A__AFTER(s(after(x0, cons(z0, z1))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), cons(mark(z0), z1)), mark(x3)), MARK(after(x0, cons(z0, z1)))) A__AFTER(s(after(x0, s(z0))), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), s(mark(z0))), mark(x3)), MARK(after(x0, s(z0)))) A__AFTER(s(after(x0, 0)), cons(x2, x3)) -> c3(A__AFTER(a__after(mark(x0), 0), mark(x3)), MARK(after(x0, 0))) A__AFTER(s(after(from(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__from(mark(z0)), mark(x1)), mark(x3)), MARK(after(from(z0), x1))) A__AFTER(s(after(after(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(a__after(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(after(after(z0, z1), x1))) A__AFTER(s(after(cons(z0, z1), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(cons(mark(z0), z1), mark(x1)), mark(x3)), MARK(after(cons(z0, z1), x1))) A__AFTER(s(after(s(z0), x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(s(mark(z0)), mark(x1)), mark(x3)), MARK(after(s(z0), x1))) A__AFTER(s(after(0, x1)), cons(x2, x3)) -> c3(A__AFTER(a__after(0, mark(x1)), mark(x3)), MARK(after(0, x1))) A__AFTER(s(after(x0, x1)), cons(x2, x3)) -> c3(MARK(after(x0, x1))) A__AFTER(s(s(from(z0))), cons(x1, x2)) -> c3(A__AFTER(s(a__from(mark(z0))), mark(x2)), MARK(s(from(z0)))) A__AFTER(s(s(after(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(a__after(mark(z0), mark(z1))), mark(x2)), MARK(s(after(z0, z1)))) A__AFTER(s(s(cons(z0, z1))), cons(x1, x2)) -> c3(A__AFTER(s(cons(mark(z0), z1)), mark(x2)), MARK(s(cons(z0, z1)))) A__AFTER(s(s(s(z0))), cons(x1, x2)) -> c3(A__AFTER(s(s(mark(z0))), mark(x2)), MARK(s(s(z0)))) A__AFTER(s(s(0)), cons(x1, x2)) -> c3(A__AFTER(s(0), mark(x2)), MARK(s(0))) A__AFTER(s(s(x0)), cons(x1, x2)) -> c3(MARK(s(x0))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), cons(mark(mark(x2)), from(s(mark(x2))))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(A__AFTER(mark(x0), from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(from(z0)))) -> c4(A__AFTER(mark(x0), a__from(a__from(mark(z0)))), MARK(from(from(z0)))) A__AFTER(s(x0), cons(x1, from(after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(a__after(mark(z0), mark(z1)))), MARK(from(after(z0, z1)))) A__AFTER(s(x0), cons(x1, from(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__from(cons(mark(z0), z1))), MARK(from(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, from(s(z0)))) -> c4(A__AFTER(mark(x0), a__from(s(mark(z0)))), MARK(from(s(z0)))) A__AFTER(s(from(z0)), cons(x1, from(x2))) -> c4(A__AFTER(a__from(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(after(z0, z1)), cons(x1, from(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(s(z0)), cons(x1, from(x2))) -> c4(A__AFTER(s(mark(z0)), a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(0), cons(x1, from(x2))) -> c4(A__AFTER(0, a__from(mark(x2))), MARK(from(x2))) A__AFTER(s(x0), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(cons(z0, z1)), cons(x1, from(x2))) -> c4(MARK(from(x2))) A__AFTER(s(x0), cons(x1, after(x2, x3))) -> c4(A__AFTER(mark(x0), after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, after(x2, from(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__from(mark(z0)))), MARK(after(x2, from(z0)))) A__AFTER(s(x0), cons(x1, after(x2, after(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), a__after(mark(z0), mark(z1)))), MARK(after(x2, after(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, cons(z0, z1)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), cons(mark(z0), z1))), MARK(after(x2, cons(z0, z1)))) A__AFTER(s(x0), cons(x1, after(x2, s(z0)))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), s(mark(z0)))), MARK(after(x2, s(z0)))) A__AFTER(s(x0), cons(x1, after(x2, 0))) -> c4(A__AFTER(mark(x0), a__after(mark(x2), 0)), MARK(after(x2, 0))) A__AFTER(s(x0), cons(x1, after(from(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(a__from(mark(z0)), mark(x3))), MARK(after(from(z0), x3))) A__AFTER(s(x0), cons(x1, after(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(a__after(mark(z0), mark(z1)), mark(x3))), MARK(after(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), a__after(cons(mark(z0), z1), mark(x3))), MARK(after(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, after(s(z0), x3))) -> c4(A__AFTER(mark(x0), a__after(s(mark(z0)), mark(x3))), MARK(after(s(z0), x3))) A__AFTER(s(x0), cons(x1, after(0, x3))) -> c4(A__AFTER(mark(x0), a__after(0, mark(x3))), MARK(after(0, x3))) A__AFTER(s(from(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, after(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(s(z0)), cons(x1, after(x2, x3))) -> c4(A__AFTER(s(mark(z0)), a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(0), cons(x1, after(x2, x3))) -> c4(A__AFTER(0, a__after(mark(x2), mark(x3))), MARK(after(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, after(x2, x3))) -> c4(MARK(after(x2, x3))) A__AFTER(s(x0), cons(x1, cons(from(z0), x3))) -> c4(A__AFTER(mark(x0), cons(a__from(mark(z0)), x3)), MARK(cons(from(z0), x3))) A__AFTER(s(x0), cons(x1, cons(after(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(a__after(mark(z0), mark(z1)), x3)), MARK(cons(after(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(cons(z0, z1), x3))) -> c4(A__AFTER(mark(x0), cons(cons(mark(z0), z1), x3)), MARK(cons(cons(z0, z1), x3))) A__AFTER(s(x0), cons(x1, cons(s(z0), x3))) -> c4(A__AFTER(mark(x0), cons(s(mark(z0)), x3)), MARK(cons(s(z0), x3))) A__AFTER(s(x0), cons(x1, cons(0, x3))) -> c4(A__AFTER(mark(x0), cons(0, x3)), MARK(cons(0, x3))) A__AFTER(s(from(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__from(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(after(z0, z1)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(s(z0)), cons(x1, cons(x2, x3))) -> c4(A__AFTER(s(mark(z0)), cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(0), cons(x1, cons(x2, x3))) -> c4(A__AFTER(0, cons(mark(x2), x3)), MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c4(MARK(cons(x2, x3))) A__AFTER(s(x0), cons(x1, s(from(z0)))) -> c4(A__AFTER(mark(x0), s(a__from(mark(z0)))), MARK(s(from(z0)))) A__AFTER(s(x0), cons(x1, s(after(z0, z1)))) -> c4(A__AFTER(mark(x0), s(a__after(mark(z0), mark(z1)))), MARK(s(after(z0, z1)))) A__AFTER(s(x0), cons(x1, s(cons(z0, z1)))) -> c4(A__AFTER(mark(x0), s(cons(mark(z0), z1))), MARK(s(cons(z0, z1)))) A__AFTER(s(x0), cons(x1, s(s(z0)))) -> c4(A__AFTER(mark(x0), s(s(mark(z0)))), MARK(s(s(z0)))) A__AFTER(s(x0), cons(x1, s(0))) -> c4(A__AFTER(mark(x0), s(0)), MARK(s(0))) A__AFTER(s(from(z0)), cons(x1, s(x2))) -> c4(A__AFTER(a__from(mark(z0)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(after(z0, z1)), cons(x1, s(x2))) -> c4(A__AFTER(a__after(mark(z0), mark(z1)), s(mark(x2))), MARK(s(x2))) A__AFTER(s(0), cons(x1, s(x2))) -> c4(A__AFTER(0, 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