KILLED proof of input_hck1pr2RYT.trs # AProVE Commit ID: 5b976082cb74a395683ed8cc7acf94bd611ab29f fuhs 20230524 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (6) CdtProblem (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxRelTRS (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 6 ms] (12) typed CpxTrs (13) OrderProof [LOWER BOUND(ID), 0 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 7658 ms] (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 1882 ms] (18) BEST (19) proven lower bound (20) LowerBoundPropagationProof [FINISHED, 0 ms] (21) BOUNDS(n^1, INF) (22) typed CpxTrs (23) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (24) CdtProblem (25) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (26) CdtProblem (27) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CpxRelTRS (29) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (30) CpxTRS (31) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CpxWeightedTrs (33) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CpxTypedWeightedTrs (35) CompletionProof [UPPER BOUND(ID), 0 ms] (36) CpxTypedWeightedCompleteTrs (37) NarrowingProof [BOTH BOUNDS(ID, ID), 38 ms] (38) CpxTypedWeightedCompleteTrs (39) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (40) CpxRNTS (41) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CpxRNTS (43) CompletionProof [UPPER BOUND(ID), 0 ms] (44) CpxTypedWeightedCompleteTrs (45) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (46) CpxRNTS (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CdtProblem (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms] (56) CdtProblem (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (60) CdtProblem (61) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms] (68) CdtProblem (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 28 ms] (92) CdtProblem (93) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 68 ms] (100) CdtProblem (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms] (104) CdtProblem (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 12 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (116) CdtProblem (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 6 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 19 ms] (122) CdtProblem (123) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 11 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 21 ms] (130) CdtProblem (131) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (132) CdtProblem (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 93 ms] (134) CdtProblem (135) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (136) CdtProblem (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 78 ms] (138) CdtProblem (139) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (140) CdtProblem (141) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms] (142) CdtProblem (143) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14 ms] (146) CdtProblem (147) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (148) CdtProblem (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (152) CdtProblem (153) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 135 ms] (154) CdtProblem (155) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (156) CdtProblem (157) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 ms] (158) CdtProblem (159) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 22 ms] (160) CdtProblem (161) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 66 ms] (162) CdtProblem (163) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (164) CdtProblem (165) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 95 ms] (166) CdtProblem (167) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (168) CdtProblem (169) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 49 ms] (170) CdtProblem (171) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (172) CdtProblem (173) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (174) CdtProblem (175) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (176) CdtProblem (177) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 73 ms] (178) CdtProblem (179) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms] (180) CdtProblem (181) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 140 ms] (182) CdtProblem (183) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 17 ms] (184) CdtProblem (185) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 75 ms] (186) CdtProblem (187) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 38 ms] (188) CdtProblem (189) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 37 ms] (190) CdtProblem (191) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 52 ms] (192) CdtProblem (193) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (194) CdtProblem (195) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 226 ms] (196) CdtProblem (197) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (198) CpxWeightedTrs (199) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (200) CpxTypedWeightedTrs (201) CompletionProof [UPPER BOUND(ID), 0 ms] (202) CpxTypedWeightedCompleteTrs (203) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (204) CpxTypedWeightedCompleteTrs (205) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (206) CpxRNTS (207) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (208) CpxRNTS (209) CompletionProof [UPPER BOUND(ID), 0 ms] (210) CpxTypedWeightedCompleteTrs (211) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (212) CpxRNTS ---------------------------------------- (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) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (6) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (7) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (8) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: 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 The (relative) TRS S consists of the following 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 Rewrite Strategy: INNERMOST ---------------------------------------- (9) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (10) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: 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 The (relative) TRS S consists of the following 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' Rewrite Strategy: INNERMOST ---------------------------------------- (11) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (12) Obligation: Innermost TRS: Rules: 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 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' Types: A__FROM :: 0':s:cons:from:after -> c:c1 c :: c6:c7:c8:c9:c10:c11 -> c:c1 MARK :: 0':s:cons:from:after -> c6:c7:c8:c9:c10:c11 c1 :: c:c1 A__AFTER :: 0':s:cons:from:after -> 0':s:cons:from:after -> c2:c3:c4:c5 0' :: 0':s:cons:from:after c2 :: c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 s :: 0':s:cons:from:after -> 0':s:cons:from:after cons :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c3 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 mark :: 0':s:cons:from:after -> 0':s:cons:from:after c4 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 c5 :: c2:c3:c4:c5 from :: 0':s:cons:from:after -> 0':s:cons:from:after c6 :: c:c1 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c7 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c8 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c11 :: c6:c7:c8:c9:c10:c11 a__from :: 0':s:cons:from:after -> 0':s:cons:from:after a__after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after hole_c:c11_12 :: c:c1 hole_0':s:cons:from:after2_12 :: 0':s:cons:from:after hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11 hole_c2:c3:c4:c54_12 :: c2:c3:c4:c5 gen_0':s:cons:from:after5_12 :: Nat -> 0':s:cons:from:after gen_c6:c7:c8:c9:c10:c116_12 :: Nat -> c6:c7:c8:c9:c10:c11 gen_c2:c3:c4:c57_12 :: Nat -> c2:c3:c4:c5 ---------------------------------------- (13) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: A__FROM, MARK, A__AFTER, mark, a__from, a__after They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__AFTER MARK = A__AFTER mark < MARK mark < A__AFTER mark = a__from mark = a__after a__from = a__after ---------------------------------------- (14) Obligation: Innermost TRS: Rules: 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 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' Types: A__FROM :: 0':s:cons:from:after -> c:c1 c :: c6:c7:c8:c9:c10:c11 -> c:c1 MARK :: 0':s:cons:from:after -> c6:c7:c8:c9:c10:c11 c1 :: c:c1 A__AFTER :: 0':s:cons:from:after -> 0':s:cons:from:after -> c2:c3:c4:c5 0' :: 0':s:cons:from:after c2 :: c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 s :: 0':s:cons:from:after -> 0':s:cons:from:after cons :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c3 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 mark :: 0':s:cons:from:after -> 0':s:cons:from:after c4 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 c5 :: c2:c3:c4:c5 from :: 0':s:cons:from:after -> 0':s:cons:from:after c6 :: c:c1 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c7 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c8 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c11 :: c6:c7:c8:c9:c10:c11 a__from :: 0':s:cons:from:after -> 0':s:cons:from:after a__after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after hole_c:c11_12 :: c:c1 hole_0':s:cons:from:after2_12 :: 0':s:cons:from:after hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11 hole_c2:c3:c4:c54_12 :: c2:c3:c4:c5 gen_0':s:cons:from:after5_12 :: Nat -> 0':s:cons:from:after gen_c6:c7:c8:c9:c10:c116_12 :: Nat -> c6:c7:c8:c9:c10:c11 gen_c2:c3:c4:c57_12 :: Nat -> c2:c3:c4:c5 Generator Equations: gen_0':s:cons:from:after5_12(0) <=> 0' gen_0':s:cons:from:after5_12(+(x, 1)) <=> s(gen_0':s:cons:from:after5_12(x)) gen_c6:c7:c8:c9:c10:c116_12(0) <=> c11 gen_c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c6(c(c11), gen_c6:c7:c8:c9:c10:c116_12(x)) gen_c2:c3:c4:c57_12(0) <=> c2(c11) gen_c2:c3:c4:c57_12(+(x, 1)) <=> c3(gen_c2:c3:c4:c57_12(x), c11) The following defined symbols remain to be analysed: a__from, A__FROM, MARK, A__AFTER, mark, a__after They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__AFTER MARK = A__AFTER mark < MARK mark < A__AFTER mark = a__from mark = a__after a__from = a__after ---------------------------------------- (15) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: mark(gen_0':s:cons:from:after5_12(n4550_12)) -> gen_0':s:cons:from:after5_12(n4550_12), rt in Omega(0) Induction Base: mark(gen_0':s:cons:from:after5_12(0)) ->_R^Omega(0) 0' Induction Step: mark(gen_0':s:cons:from:after5_12(+(n4550_12, 1))) ->_R^Omega(0) s(mark(gen_0':s:cons:from:after5_12(n4550_12))) ->_IH s(gen_0':s:cons:from:after5_12(c4551_12)) We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0). ---------------------------------------- (16) Obligation: Innermost TRS: Rules: 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 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' Types: A__FROM :: 0':s:cons:from:after -> c:c1 c :: c6:c7:c8:c9:c10:c11 -> c:c1 MARK :: 0':s:cons:from:after -> c6:c7:c8:c9:c10:c11 c1 :: c:c1 A__AFTER :: 0':s:cons:from:after -> 0':s:cons:from:after -> c2:c3:c4:c5 0' :: 0':s:cons:from:after c2 :: c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 s :: 0':s:cons:from:after -> 0':s:cons:from:after cons :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c3 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 mark :: 0':s:cons:from:after -> 0':s:cons:from:after c4 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 c5 :: c2:c3:c4:c5 from :: 0':s:cons:from:after -> 0':s:cons:from:after c6 :: c:c1 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c7 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c8 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c11 :: c6:c7:c8:c9:c10:c11 a__from :: 0':s:cons:from:after -> 0':s:cons:from:after a__after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after hole_c:c11_12 :: c:c1 hole_0':s:cons:from:after2_12 :: 0':s:cons:from:after hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11 hole_c2:c3:c4:c54_12 :: c2:c3:c4:c5 gen_0':s:cons:from:after5_12 :: Nat -> 0':s:cons:from:after gen_c6:c7:c8:c9:c10:c116_12 :: Nat -> c6:c7:c8:c9:c10:c11 gen_c2:c3:c4:c57_12 :: Nat -> c2:c3:c4:c5 Lemmas: mark(gen_0':s:cons:from:after5_12(n4550_12)) -> gen_0':s:cons:from:after5_12(n4550_12), rt in Omega(0) Generator Equations: gen_0':s:cons:from:after5_12(0) <=> 0' gen_0':s:cons:from:after5_12(+(x, 1)) <=> s(gen_0':s:cons:from:after5_12(x)) gen_c6:c7:c8:c9:c10:c116_12(0) <=> c11 gen_c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c6(c(c11), gen_c6:c7:c8:c9:c10:c116_12(x)) gen_c2:c3:c4:c57_12(0) <=> c2(c11) gen_c2:c3:c4:c57_12(+(x, 1)) <=> c3(gen_c2:c3:c4:c57_12(x), c11) The following defined symbols remain to be analysed: a__after, A__FROM, MARK, A__AFTER, a__from They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__AFTER MARK = A__AFTER mark < MARK mark < A__AFTER mark = a__from mark = a__after a__from = a__after ---------------------------------------- (17) RewriteLemmaProof (LOWER BOUND(ID)) Proved the following rewrite lemma: MARK(gen_0':s:cons:from:after5_12(+(1, n5380_12))) -> *8_12, rt in Omega(n5380_12) Induction Base: MARK(gen_0':s:cons:from:after5_12(+(1, 0))) Induction Step: MARK(gen_0':s:cons:from:after5_12(+(1, +(n5380_12, 1)))) ->_R^Omega(1) c10(MARK(gen_0':s:cons:from:after5_12(+(1, n5380_12)))) ->_IH c10(*8_12) We have rt in Omega(n^1) and sz in O(n). Thus, we have irc_R in Omega(n). ---------------------------------------- (18) Complex Obligation (BEST) ---------------------------------------- (19) Obligation: Proved the lower bound n^1 for the following obligation: Innermost TRS: Rules: 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 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' Types: A__FROM :: 0':s:cons:from:after -> c:c1 c :: c6:c7:c8:c9:c10:c11 -> c:c1 MARK :: 0':s:cons:from:after -> c6:c7:c8:c9:c10:c11 c1 :: c:c1 A__AFTER :: 0':s:cons:from:after -> 0':s:cons:from:after -> c2:c3:c4:c5 0' :: 0':s:cons:from:after c2 :: c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 s :: 0':s:cons:from:after -> 0':s:cons:from:after cons :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c3 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 mark :: 0':s:cons:from:after -> 0':s:cons:from:after c4 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 c5 :: c2:c3:c4:c5 from :: 0':s:cons:from:after -> 0':s:cons:from:after c6 :: c:c1 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c7 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c8 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c11 :: c6:c7:c8:c9:c10:c11 a__from :: 0':s:cons:from:after -> 0':s:cons:from:after a__after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after hole_c:c11_12 :: c:c1 hole_0':s:cons:from:after2_12 :: 0':s:cons:from:after hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11 hole_c2:c3:c4:c54_12 :: c2:c3:c4:c5 gen_0':s:cons:from:after5_12 :: Nat -> 0':s:cons:from:after gen_c6:c7:c8:c9:c10:c116_12 :: Nat -> c6:c7:c8:c9:c10:c11 gen_c2:c3:c4:c57_12 :: Nat -> c2:c3:c4:c5 Lemmas: mark(gen_0':s:cons:from:after5_12(n4550_12)) -> gen_0':s:cons:from:after5_12(n4550_12), rt in Omega(0) Generator Equations: gen_0':s:cons:from:after5_12(0) <=> 0' gen_0':s:cons:from:after5_12(+(x, 1)) <=> s(gen_0':s:cons:from:after5_12(x)) gen_c6:c7:c8:c9:c10:c116_12(0) <=> c11 gen_c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c6(c(c11), gen_c6:c7:c8:c9:c10:c116_12(x)) gen_c2:c3:c4:c57_12(0) <=> c2(c11) gen_c2:c3:c4:c57_12(+(x, 1)) <=> c3(gen_c2:c3:c4:c57_12(x), c11) The following defined symbols remain to be analysed: MARK, A__FROM, A__AFTER They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__AFTER MARK = A__AFTER ---------------------------------------- (20) LowerBoundPropagationProof (FINISHED) Propagated lower bound. ---------------------------------------- (21) BOUNDS(n^1, INF) ---------------------------------------- (22) Obligation: Innermost TRS: Rules: 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 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' Types: A__FROM :: 0':s:cons:from:after -> c:c1 c :: c6:c7:c8:c9:c10:c11 -> c:c1 MARK :: 0':s:cons:from:after -> c6:c7:c8:c9:c10:c11 c1 :: c:c1 A__AFTER :: 0':s:cons:from:after -> 0':s:cons:from:after -> c2:c3:c4:c5 0' :: 0':s:cons:from:after c2 :: c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 s :: 0':s:cons:from:after -> 0':s:cons:from:after cons :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c3 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 mark :: 0':s:cons:from:after -> 0':s:cons:from:after c4 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c2:c3:c4:c5 c5 :: c2:c3:c4:c5 from :: 0':s:cons:from:after -> 0':s:cons:from:after c6 :: c:c1 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after c7 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c8 :: c2:c3:c4:c5 -> c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c9 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c10 :: c6:c7:c8:c9:c10:c11 -> c6:c7:c8:c9:c10:c11 c11 :: c6:c7:c8:c9:c10:c11 a__from :: 0':s:cons:from:after -> 0':s:cons:from:after a__after :: 0':s:cons:from:after -> 0':s:cons:from:after -> 0':s:cons:from:after hole_c:c11_12 :: c:c1 hole_0':s:cons:from:after2_12 :: 0':s:cons:from:after hole_c6:c7:c8:c9:c10:c113_12 :: c6:c7:c8:c9:c10:c11 hole_c2:c3:c4:c54_12 :: c2:c3:c4:c5 gen_0':s:cons:from:after5_12 :: Nat -> 0':s:cons:from:after gen_c6:c7:c8:c9:c10:c116_12 :: Nat -> c6:c7:c8:c9:c10:c11 gen_c2:c3:c4:c57_12 :: Nat -> c2:c3:c4:c5 Lemmas: mark(gen_0':s:cons:from:after5_12(n4550_12)) -> gen_0':s:cons:from:after5_12(n4550_12), rt in Omega(0) MARK(gen_0':s:cons:from:after5_12(+(1, n5380_12))) -> *8_12, rt in Omega(n5380_12) Generator Equations: gen_0':s:cons:from:after5_12(0) <=> 0' gen_0':s:cons:from:after5_12(+(x, 1)) <=> s(gen_0':s:cons:from:after5_12(x)) gen_c6:c7:c8:c9:c10:c116_12(0) <=> c11 gen_c6:c7:c8:c9:c10:c116_12(+(x, 1)) <=> c6(c(c11), gen_c6:c7:c8:c9:c10:c116_12(x)) gen_c2:c3:c4:c57_12(0) <=> c2(c11) gen_c2:c3:c4:c57_12(+(x, 1)) <=> c3(gen_c2:c3:c4:c57_12(x), c11) The following defined symbols remain to be analysed: A__FROM, A__AFTER They will be analysed ascendingly in the following order: A__FROM = MARK A__FROM = A__AFTER MARK = A__AFTER ---------------------------------------- (23) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (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__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 ---------------------------------------- (25) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__FROM(z0) -> c1 MARK(0) -> c11 A__AFTER(z0, z1) -> c5 ---------------------------------------- (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)) -> 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 ---------------------------------------- (27) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (28) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__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)) The (relative) TRS S consists of the following 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 Rewrite Strategy: INNERMOST ---------------------------------------- (29) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (30) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) A__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)) 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 S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (31) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (32) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) [1] A__AFTER(0, z0) -> c2(MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) [1] MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) [1] MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) [1] MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) [1] MARK(cons(z0, z1)) -> c9(MARK(z0)) [1] MARK(s(z0)) -> c10(MARK(z0)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__after(0, z0) -> mark(z0) [0] a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) [0] a__after(z0, z1) -> after(z0, z1) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] Rewrite Strategy: INNERMOST ---------------------------------------- (33) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (34) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) [1] A__AFTER(0, z0) -> c2(MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) [1] MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) [1] MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) [1] MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) [1] MARK(cons(z0, z1)) -> c9(MARK(z0)) [1] MARK(s(z0)) -> c10(MARK(z0)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__after(0, z0) -> mark(z0) [0] a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) [0] a__after(z0, z1) -> after(z0, z1) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] The TRS has the following type information: A__FROM :: 0:s:cons:from:after -> c c :: c6:c7:c8:c9:c10 -> c MARK :: 0:s:cons:from:after -> c6:c7:c8:c9:c10 A__AFTER :: 0:s:cons:from:after -> 0:s:cons:from:after -> c2:c3:c4 0 :: 0:s:cons:from:after c2 :: c6:c7:c8:c9:c10 -> c2:c3:c4 s :: 0:s:cons:from:after -> 0:s:cons:from:after cons :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after c3 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c2:c3:c4 mark :: 0:s:cons:from:after -> 0:s:cons:from:after c4 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c2:c3:c4 from :: 0:s:cons:from:after -> 0:s:cons:from:after c6 :: c -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 after :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after c7 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c8 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c9 :: c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c10 :: c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 a__from :: 0:s:cons:from:after -> 0:s:cons:from:after a__after :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after Rewrite Strategy: INNERMOST ---------------------------------------- (35) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: A__FROM_1 A__AFTER_2 MARK_1 (c) The following functions are completely defined: a__from_1 a__after_2 mark_1 Due to the following rules being added: a__from(v0) -> 0 [0] a__after(v0, v1) -> 0 [0] mark(v0) -> 0 [0] And the following fresh constants: const, const1, const2 ---------------------------------------- (36) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) [1] A__AFTER(0, z0) -> c2(MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) [1] MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) [1] MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) [1] MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) [1] MARK(cons(z0, z1)) -> c9(MARK(z0)) [1] MARK(s(z0)) -> c10(MARK(z0)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__after(0, z0) -> mark(z0) [0] a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) [0] a__after(z0, z1) -> after(z0, z1) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] a__from(v0) -> 0 [0] a__after(v0, v1) -> 0 [0] mark(v0) -> 0 [0] The TRS has the following type information: A__FROM :: 0:s:cons:from:after -> c c :: c6:c7:c8:c9:c10 -> c MARK :: 0:s:cons:from:after -> c6:c7:c8:c9:c10 A__AFTER :: 0:s:cons:from:after -> 0:s:cons:from:after -> c2:c3:c4 0 :: 0:s:cons:from:after c2 :: c6:c7:c8:c9:c10 -> c2:c3:c4 s :: 0:s:cons:from:after -> 0:s:cons:from:after cons :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after c3 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c2:c3:c4 mark :: 0:s:cons:from:after -> 0:s:cons:from:after c4 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c2:c3:c4 from :: 0:s:cons:from:after -> 0:s:cons:from:after c6 :: c -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 after :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after c7 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c8 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c9 :: c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c10 :: c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 a__from :: 0:s:cons:from:after -> 0:s:cons:from:after a__after :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after const :: c const1 :: c6:c7:c8:c9:c10 const2 :: c2:c3:c4 Rewrite Strategy: INNERMOST ---------------------------------------- (37) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (38) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) [1] A__AFTER(0, z0) -> c2(MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) [1] MARK(from(from(z055))) -> c6(A__FROM(a__from(mark(z055))), MARK(from(z055))) [1] MARK(from(after(z056, z127))) -> c6(A__FROM(a__after(mark(z056), mark(z127))), MARK(after(z056, z127))) [1] MARK(from(cons(z057, z128))) -> c6(A__FROM(cons(mark(z057), z128)), MARK(cons(z057, z128))) [1] MARK(from(s(z058))) -> c6(A__FROM(s(mark(z058))), MARK(s(z058))) [1] MARK(from(0)) -> c6(A__FROM(0), MARK(0)) [1] MARK(from(z0)) -> c6(A__FROM(0), MARK(z0)) [1] MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) [1] MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) [1] MARK(cons(z0, z1)) -> c9(MARK(z0)) [1] MARK(s(z0)) -> c10(MARK(z0)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__after(0, z0) -> mark(z0) [0] a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) [0] a__after(z0, z1) -> after(z0, z1) [0] mark(from(from(z0143))) -> a__from(a__from(mark(z0143))) [0] mark(from(after(z0144, z171))) -> a__from(a__after(mark(z0144), mark(z171))) [0] mark(from(cons(z0145, z172))) -> a__from(cons(mark(z0145), z172)) [0] mark(from(s(z0146))) -> a__from(s(mark(z0146))) [0] mark(from(0)) -> a__from(0) [0] mark(from(z0)) -> a__from(0) [0] mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] a__from(v0) -> 0 [0] a__after(v0, v1) -> 0 [0] mark(v0) -> 0 [0] The TRS has the following type information: A__FROM :: 0:s:cons:from:after -> c c :: c6:c7:c8:c9:c10 -> c MARK :: 0:s:cons:from:after -> c6:c7:c8:c9:c10 A__AFTER :: 0:s:cons:from:after -> 0:s:cons:from:after -> c2:c3:c4 0 :: 0:s:cons:from:after c2 :: c6:c7:c8:c9:c10 -> c2:c3:c4 s :: 0:s:cons:from:after -> 0:s:cons:from:after cons :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after c3 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c2:c3:c4 mark :: 0:s:cons:from:after -> 0:s:cons:from:after c4 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c2:c3:c4 from :: 0:s:cons:from:after -> 0:s:cons:from:after c6 :: c -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 after :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after c7 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c8 :: c2:c3:c4 -> c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c9 :: c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 c10 :: c6:c7:c8:c9:c10 -> c6:c7:c8:c9:c10 a__from :: 0:s:cons:from:after -> 0:s:cons:from:after a__after :: 0:s:cons:from:after -> 0:s:cons:from:after -> 0:s:cons:from:after const :: c const1 :: c6:c7:c8:c9:c10 const2 :: c2:c3:c4 Rewrite Strategy: INNERMOST ---------------------------------------- (39) 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 const => 0 const1 => 0 const2 => 0 ---------------------------------------- (40) Obligation: Complexity RNTS consisting of the following rules: A__AFTER(z, z') -{ 1 }-> 1 + MARK(z0) :|: z0 >= 0, z = 0, z' = z0 A__AFTER(z, z') -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__AFTER(z, z') -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z055))) + MARK(1 + z055) :|: z = 1 + (1 + z055), z055 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(a__after(mark(z056), mark(z127))) + MARK(1 + z056 + z127) :|: z056 >= 0, z = 1 + (1 + z056 + z127), z127 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(0) :|: z = 1 + 0 MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z058)) + MARK(1 + z058) :|: z = 1 + (1 + z058), z058 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z057) + z128) + MARK(1 + z057 + z128) :|: z = 1 + (1 + z057 + z128), z128 >= 0, z057 >= 0 MARK(z) -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__after(z, z') -{ 0 }-> mark(z0) :|: z0 >= 0, z = 0, z' = z0 a__after(z, z') -{ 0 }-> a__after(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__after(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__after(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0 mark(z) -{ 0 }-> a__from(a__from(mark(z0143))) :|: z0143 >= 0, z = 1 + (1 + z0143) mark(z) -{ 0 }-> a__from(a__after(mark(z0144), mark(z171))) :|: z171 >= 0, z0144 >= 0, z = 1 + (1 + z0144 + z171) mark(z) -{ 0 }-> a__from(0) :|: z = 1 + 0 mark(z) -{ 0 }-> a__from(0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__from(1 + mark(z0146)) :|: z0146 >= 0, z = 1 + (1 + z0146) mark(z) -{ 0 }-> a__from(1 + mark(z0145) + z172) :|: z = 1 + (1 + z0145 + z172), z172 >= 0, z0145 >= 0 mark(z) -{ 0 }-> a__after(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ---------------------------------------- (41) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (42) Obligation: Complexity RNTS consisting of the following rules: A__AFTER(z, z') -{ 1 }-> 1 + MARK(z') :|: z' >= 0, z = 0 A__AFTER(z, z') -{ 1 }-> 1 + A__AFTER(mark(z - 1), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 A__AFTER(z, z') -{ 1 }-> 1 + A__AFTER(mark(z - 1), mark(z2)) + MARK(z - 1) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 A__FROM(z) -{ 1 }-> 1 + MARK(z) :|: z >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + MARK(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(a__from(mark(z - 2))) + MARK(1 + (z - 2)) :|: z - 2 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(a__after(mark(z056), mark(z127))) + MARK(1 + z056 + z127) :|: z056 >= 0, z = 1 + (1 + z056 + z127), z127 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(0) :|: z = 1 + 0 MARK(z) -{ 1 }-> 1 + A__FROM(0) + MARK(z - 1) :|: z - 1 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z - 2)) + MARK(1 + (z - 2)) :|: z - 2 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(1 + mark(z057) + z128) + MARK(1 + z057 + z128) :|: z = 1 + (1 + z057 + z128), z128 >= 0, z057 >= 0 MARK(z) -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__after(z, z') -{ 0 }-> mark(z') :|: z' >= 0, z = 0 a__after(z, z') -{ 0 }-> a__after(mark(z - 1), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 a__after(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__after(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__from(z) -{ 0 }-> 0 :|: z >= 0 a__from(z) -{ 0 }-> 1 + z :|: z >= 0 a__from(z) -{ 0 }-> 1 + mark(z) + (1 + (1 + z)) :|: z >= 0 mark(z) -{ 0 }-> a__from(a__from(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__from(a__after(mark(z0144), mark(z171))) :|: z171 >= 0, z0144 >= 0, z = 1 + (1 + z0144 + z171) mark(z) -{ 0 }-> a__from(0) :|: z = 1 + 0 mark(z) -{ 0 }-> a__from(0) :|: z - 1 >= 0 mark(z) -{ 0 }-> a__from(1 + mark(z - 2)) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__from(1 + mark(z0145) + z172) :|: z = 1 + (1 + z0145 + z172), z172 >= 0, z0145 >= 0 mark(z) -{ 0 }-> a__after(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: z >= 0 mark(z) -{ 0 }-> 1 + mark(z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ---------------------------------------- (43) CompletionProof (UPPER BOUND(ID)) The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added: a__from(v0) -> null_a__from [0] a__after(v0, v1) -> null_a__after [0] mark(v0) -> null_mark [0] A__AFTER(v0, v1) -> null_A__AFTER [0] MARK(v0) -> null_MARK [0] And the following fresh constants: null_a__from, null_a__after, null_mark, null_A__AFTER, null_MARK, const ---------------------------------------- (44) Obligation: Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__FROM(z0) -> c(MARK(z0)) [1] A__AFTER(0, z0) -> c2(MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c3(A__AFTER(mark(z0), mark(z2)), MARK(z0)) [1] A__AFTER(s(z0), cons(z1, z2)) -> c4(A__AFTER(mark(z0), mark(z2)), MARK(z2)) [1] MARK(from(z0)) -> c6(A__FROM(mark(z0)), MARK(z0)) [1] MARK(after(z0, z1)) -> c7(A__AFTER(mark(z0), mark(z1)), MARK(z0)) [1] MARK(after(z0, z1)) -> c8(A__AFTER(mark(z0), mark(z1)), MARK(z1)) [1] MARK(cons(z0, z1)) -> c9(MARK(z0)) [1] MARK(s(z0)) -> c10(MARK(z0)) [1] a__from(z0) -> cons(mark(z0), from(s(z0))) [0] a__from(z0) -> from(z0) [0] a__after(0, z0) -> mark(z0) [0] a__after(s(z0), cons(z1, z2)) -> a__after(mark(z0), mark(z2)) [0] a__after(z0, z1) -> after(z0, z1) [0] mark(from(z0)) -> a__from(mark(z0)) [0] mark(after(z0, z1)) -> a__after(mark(z0), mark(z1)) [0] mark(cons(z0, z1)) -> cons(mark(z0), z1) [0] mark(s(z0)) -> s(mark(z0)) [0] mark(0) -> 0 [0] a__from(v0) -> null_a__from [0] a__after(v0, v1) -> null_a__after [0] mark(v0) -> null_mark [0] A__AFTER(v0, v1) -> null_A__AFTER [0] MARK(v0) -> null_MARK [0] The TRS has the following type information: A__FROM :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> c c :: c6:c7:c8:c9:c10:null_MARK -> c MARK :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> c6:c7:c8:c9:c10:null_MARK A__AFTER :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> c2:c3:c4:null_A__AFTER 0 :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark c2 :: c6:c7:c8:c9:c10:null_MARK -> c2:c3:c4:null_A__AFTER s :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark cons :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark c3 :: c2:c3:c4:null_A__AFTER -> c6:c7:c8:c9:c10:null_MARK -> c2:c3:c4:null_A__AFTER mark :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark c4 :: c2:c3:c4:null_A__AFTER -> c6:c7:c8:c9:c10:null_MARK -> c2:c3:c4:null_A__AFTER from :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark c6 :: c -> c6:c7:c8:c9:c10:null_MARK -> c6:c7:c8:c9:c10:null_MARK after :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark c7 :: c2:c3:c4:null_A__AFTER -> c6:c7:c8:c9:c10:null_MARK -> c6:c7:c8:c9:c10:null_MARK c8 :: c2:c3:c4:null_A__AFTER -> c6:c7:c8:c9:c10:null_MARK -> c6:c7:c8:c9:c10:null_MARK c9 :: c6:c7:c8:c9:c10:null_MARK -> c6:c7:c8:c9:c10:null_MARK c10 :: c6:c7:c8:c9:c10:null_MARK -> c6:c7:c8:c9:c10:null_MARK a__from :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark a__after :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark -> 0:s:cons:from:after:null_a__from:null_a__after:null_mark null_a__from :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark null_a__after :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark null_mark :: 0:s:cons:from:after:null_a__from:null_a__after:null_mark null_A__AFTER :: c2:c3:c4:null_A__AFTER null_MARK :: c6:c7:c8:c9:c10:null_MARK const :: c Rewrite Strategy: INNERMOST ---------------------------------------- (45) 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 null_a__from => 0 null_a__after => 0 null_mark => 0 null_A__AFTER => 0 null_MARK => 0 const => 0 ---------------------------------------- (46) Obligation: Complexity RNTS consisting of the following rules: A__AFTER(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__AFTER(z, z') -{ 1 }-> 1 + MARK(z0) :|: z0 >= 0, z = 0, z' = z0 A__AFTER(z, z') -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__AFTER(z, z') -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__FROM(z) -{ 1 }-> 1 + MARK(z0) :|: z = z0, z0 >= 0 MARK(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__FROM(mark(z0)) + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__AFTER(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__after(z, z') -{ 0 }-> mark(z0) :|: z0 >= 0, z = 0, z' = z0 a__after(z, z') -{ 0 }-> a__after(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__after(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__after(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 1 + mark(z0) + (1 + (1 + z0)) :|: z = z0, z0 >= 0 mark(z) -{ 0 }-> a__from(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__after(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + mark(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + mark(z0) + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (47) 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)) ---------------------------------------- (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)) 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 ---------------------------------------- (49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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)) 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 ---------------------------------------- (51) 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)) ---------------------------------------- (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(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 ---------------------------------------- (53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (55) 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)) ---------------------------------------- (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(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 ---------------------------------------- (57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (59) 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)) ---------------------------------------- (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(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 ---------------------------------------- (61) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (63) 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)) ---------------------------------------- (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(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 ---------------------------------------- (65) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (67) 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)) ---------------------------------------- (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(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 ---------------------------------------- (69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (71) 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)) ---------------------------------------- (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(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 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (75) 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)) ---------------------------------------- (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(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 ---------------------------------------- (77) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (79) 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)) ---------------------------------------- (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(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 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (83) 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))) ---------------------------------------- (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(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 ---------------------------------------- (85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (87) 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))) ---------------------------------------- (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(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 ---------------------------------------- (89) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (91) 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))) ---------------------------------------- (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(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 ---------------------------------------- (93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (95) 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))) ---------------------------------------- (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(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 ---------------------------------------- (97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (99) 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))) ---------------------------------------- (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(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 ---------------------------------------- (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(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 ---------------------------------------- (103) 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))) ---------------------------------------- (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(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 ---------------------------------------- (105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (107) 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))) ---------------------------------------- (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(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 ---------------------------------------- (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(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 ---------------------------------------- (111) 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)) ---------------------------------------- (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(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 ---------------------------------------- (113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 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(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 ---------------------------------------- (115) 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)) ---------------------------------------- (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(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 ---------------------------------------- (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(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 ---------------------------------------- (119) 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)) ---------------------------------------- (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(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 ---------------------------------------- (121) 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)) ---------------------------------------- (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(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 ---------------------------------------- (123) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (125) 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)) ---------------------------------------- (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(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 ---------------------------------------- (127) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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)) ---------------------------------------- (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(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 ---------------------------------------- (129) 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)) ---------------------------------------- (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(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 ---------------------------------------- (131) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (133) 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)) ---------------------------------------- (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(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 ---------------------------------------- (135) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (137) 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)) ---------------------------------------- (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(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 ---------------------------------------- (139) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (141) 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)) ---------------------------------------- (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(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 ---------------------------------------- (143) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (145) 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)) ---------------------------------------- (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(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 ---------------------------------------- (147) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (149) 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))) ---------------------------------------- (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(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 ---------------------------------------- (151) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (153) 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))) ---------------------------------------- (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(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 ---------------------------------------- (155) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (157) 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))) ---------------------------------------- (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(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 ---------------------------------------- (159) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (161) 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))) ---------------------------------------- (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(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 ---------------------------------------- (163) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (165) 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))) ---------------------------------------- (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(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 ---------------------------------------- (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(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), 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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), 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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 ---------------------------------------- (169) 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))) ---------------------------------------- (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(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)), 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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 ---------------------------------------- (171) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (173) 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))) ---------------------------------------- (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__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)) -> 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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))) 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), 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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 ---------------------------------------- (175) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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__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 ---------------------------------------- (177) 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)) ---------------------------------------- (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__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 ---------------------------------------- (179) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 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__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 ---------------------------------------- (181) 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)) ---------------------------------------- (182) 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 ---------------------------------------- (183) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (185) 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)) ---------------------------------------- (186) 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 ---------------------------------------- (187) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(after(s(x0), 0)) -> c8(A__AFTER(s(mark(x0)), 0), MARK(0)) ---------------------------------------- (188) 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 ---------------------------------------- (189) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: a__from(z0) -> cons(mark(z0), from(s(z0))) a__from(z0) -> from(z0) a__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 ---------------------------------------- (191) 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)) ---------------------------------------- (192) 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))) -> 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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)))), 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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 ---------------------------------------- (193) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(after(s(z0), 0)) -> c8(A__AFTER(s(mark(z0)), 0)) MARK(after(cons(z0, z1), 0)) -> c8(A__AFTER(cons(mark(z0), z1), 0)) ---------------------------------------- (194) 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 ---------------------------------------- (195) 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)))) ---------------------------------------- (196) 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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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))), 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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 ---------------------------------------- (197) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (198) 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 ---------------------------------------- (199) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (200) 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 ---------------------------------------- (201) 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 ---------------------------------------- (202) 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 ---------------------------------------- (203) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (204) 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 ---------------------------------------- (205) 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 ---------------------------------------- (206) 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 ---------------------------------------- (207) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (208) 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 ---------------------------------------- (209) 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 ---------------------------------------- (210) 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 ---------------------------------------- (211) 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 ---------------------------------------- (212) 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.